MP Board Class 6th Maths Solutions Chapter 5 प्रारंभिक आकारों को समझना Intext Questions

MP Board Class 6th Maths Solutions Chapter 5 प्रारंभिक आकारों को समझना Intext Questions

पाठ्य-पुस्तक पृष्ठ संख्या # 96

सोचिए, चर्चा कीजिए एवं लिखिए

प्रश्न 1.
अन्य कौन-सी त्रुटियाँ और कठिनाइयाँ हमारे सम्मुख आ सकती हैं ?
उत्तर-

  • प्रेक्षण लेने में त्रुटियाँ हो सकती हैं। हमारे प्रेक्षण सदैव सही नहीं होते।
  • रेखाओं को ट्रेस करने में, तुलना करने में कठिनाई हो सकती है।
  • पैमाने की मोटाई अधिक होने से लम्बाई नापने में त्रुटि हो सकती है। पैमाने को उचित चिह्न पर न रखने पर अथवा दूसरे कोने पर चिह्न को पढ़ने में त्रुटि हो सकती है।

इन त्रुटियों से बचने के लिए डिवाइडर का प्रयोग कर सकते हैं।

प्रश्न 2.
यदि रूलर पर अंकित चिन्हों को ठीक प्रकार से न पढ़ा जाए, तो किस प्रकार की त्रुटि हो सकती है ? इससे कैसे बचा जा सकता है ?
उत्तर-
रूलर से सही माप लेने के लिए आँख सही स्थान पर स्थित होनी चाहिए। आँख को चिह्न के ठीक ऊपर रखना चाहिए। आँख से तिरछा देखने पर चिह्न को पढ़ने में त्रुटि हो सकती है।

MP Board Solutions

पाठ्य-पुस्तक पृष्ठ संख्या # 97

प्रयास कीजिए

प्रश्न 1.
एक पोस्टकार्ड लीजिए। उपर्युक्त तकनीक का प्रयोग करके, उसकी दो आसन्न भुजाओं को मापिए।
हल :
पोस्टकार्ड की दो आसन्न भुजाओं की लम्बाई क्रमशः 14 सेमी व 9 सेमी है।

प्रश्न 2.
कोई तीन वस्तुएँ चुनिए जिनके ऊपरी सिरे सपाट हों। डिवाइडर और रूलर का प्रयोग करते हुए, इन ऊपरी सिरों की सभी भुजाओं को मापिए।।
हल :
तीन वस्तुएँ-

  • गणित की कक्षा 6 की पुस्तक,
  • अभ्यास पुस्तिका,
  • फोटो फ्रेम।

इनकी माप निम्नांकित है

  • गणित की कक्षा 6 की पुस्तक : 27.5 सेमी, 21 सेमी, 27-5 सेमी, और 21 सेमी।
  • अभ्यास पुस्तिका : 20 सेमी, 16 सेमी, 20 सेमी और 16 सेमी।
  • फोटोफ्रेम : 25 सेमी, 20 सेमी, 25 सेमी और 20 सेमी।

MP Board Class 6th Maths Solutions

MP Board Class 6th Maths Solutions Chapter 4 आधारभूत ज्यामितीय अवधारणाएँ Ex 4.2

MP Board Class 6th Maths Solutions Chapter 4 आधारभूत ज्यामितीय अवधारणाएँ Ex 4.2

पाठ्य-पुस्तक पृष्ठ संख्या # 84-85

प्रश्न 1.
पाठ्य-पुस्तक में दी हुई वक्रों को
(i) खुली या
(ii) बंद वक्रों के रूप में वर्गीकृत कीजिए :
हल :
(i) खुली वक्र – (a) व (c)
(ii) बन्द वक्र – (b), (b) व (e)

प्रश्न 2.
निम्न को स्पष्ट करने के लिए रफ आकृतियाँ बनाइए:
(a) खुला वक्र
(b) बन्द वक्र
हल :
MP Board Class 6th Maths Solutions Chapter 4 आधारभूत ज्यामितीय अवधारणाएँ Ex 4.2 image 1

MP Board Solutions

प्रश्न 3.
कोई भी बहुभुज खींचिए और उसके अभ्यन्तर को छायांकित (Shade) कीजिए।
हल :
ABCDE एक बहुभुज है जिसके अभ्यंतर को छायांकित किया गया है।
MP Board Class 6th Maths Solutions Chapter 4 आधारभूत ज्यामितीय अवधारणाएँ Ex 4.2 image 2

प्रश्न 4.
संलग्न आकृति को देखकर निम्न प्रश्नों के उत्तर दीजिए :
(a) क्या यह एक वक्र है ?
(b) क्या यह बन्द है?
MP Board Class 6th Maths Solutions Chapter 4 आधारभूत ज्यामितीय अवधारणाएँ Ex 4.2 image 3
हल :
(a) हाँ, यह एक वक्र है।
(b) हाँ, यह बन्द वक्र है।

MP Board Solutions

प्रश्न 5.
रफ आकृतियाँ बनाकर, यदि सम्भव हो, तो निम्न को स्पष्ट कीजिए :
(a) एक बन्द आकृति जो बहुभुज नहीं है।
(b) केवल रेखाखण्डों से बनी हुई खुली वक्र
(c) दो भुजाओं वाला एक बहुभुज।
हल :
(a) बन्द आकृति जो बहुभुज नहीं है।
MP Board Class 6th Maths Solutions Chapter 4 आधारभूत ज्यामितीय अवधारणाएँ Ex 4.2 image 4

(b) रेखाखण्डों से बनी हुई खुली वक्र
MP Board Class 6th Maths Solutions Chapter 4 आधारभूत ज्यामितीय अवधारणाएँ Ex 4.2 image 5

(c) दो भुजाओं वाला बहुभुज असम्भव है।

MP Board Class 6th Maths Solutions

MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1

MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1

प्रश्न 1.
जैसा कि संलग्न आकृति में दर्शाया गया है, एक आयताकार और एक वर्गाकार खेत के माप दिए हुए हैं। यदि इनके परिमाप समान हैं, तो किस खेत का क्षेत्रफल अधिक होगा?
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-1
हल:
माना कि आयताकार खेत की चौड़ाई = b m है।
आयताकार खेत की लम्बाई = 80 m
वर्गकार खेत की भुजा = 60 m
वर्गाकार खेत का परिमाप = 4 x 60 m = 240 m
अब, प्रश्नानुसार, आयत का परिमाप – वर्ग का परिमाप
2(80 + b) = 240
80 + b = \(\frac{240}{2}\) = 120
b = (120 – 80) m = 40 m.
अतः आयत की चौड़ाई = 40 m.
अब, वर्गाकार खेत का क्षेत्रफल = (भुजा)2 = (60)2 m2
= 60 x 60 m2 = 3600 m2
आयताकार खेत का क्षेत्रफल = l x b = 80 m x 40 m
= 3200 m2
3600 m2 > 3200 m2
अतः वर्गाकार खेत का शेत्रफल अधिक है।

प्रश्न 2.
श्रीमती कौशिक के पास चित्र में दर्शाए गए मापों वाला एक वर्गाकार प्लॉट है। वह प्लॉट के बीच में एक घर बनाना चाहती हैं। घर के चारों ओर एक बगीचा विकसित किया गया है। ₹ 55 प्रति वर्ग मीटर की दर से इस बगीचे को विकसित करने का व्यय ज्ञात कीजिए।
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-2
हल:
वर्गाकार प्लॉट की भुजा = 25 m
वर्गाकार प्लॉट का क्षेत्रफल= (भुजा) = (25 m)2
= 25 m x 25 m = 625 m2
भीतरी आयत की लम्बाई l = 20 m, चौड़ाई = 15 m
भीतरी आयत का क्षेत्रफल = l x b = 20 m x 15 m
= 300 m2
∴ बगीचे का क्षेत्रफल = वर्गाकार प्लॉट का क्षेत्रफल – भीतरी आयत का क्षेत्रफल
= 625 m2 – 300 m2
= 325 m2
₹ 55 प्रति वर्ग मीटर की दर से बगीचे को विकसित करने का व्यय
= ₹ 55 x 325
= ₹ 17,875

MP Board Solutions

प्रश्न 3.
जैसा कि आरेख में दर्शाया गया है, एक बगीचे का आकार मध्य में आयताकार है और किनारों पर अर्धवृत्त के रूप में है। इस बगीचे का परिमाप और क्षेत्रफल ज्ञात कीजिए। (आयत की लम्बाई 20 – (3.5 + 3.5) मीटर है।)
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-3
हल:
आयत की लम्बाई = 20 – (3.5 + 3.5) मीटर
= (20 – 7) मीटर = 13 मीटर
आयत की चौड़ाई = 7 मीटर ; वृत्त की त्रिज्या
= \(\frac{7}{2}\) मीटर = 3.5 मीटर
बगीचे का परिमाप = 2 x आयताकार भाग की
लम्बाई + दो अर्धवृत्तों का परिमाप
2 x l + 2πr = 2 x 13 + 2 x \(\frac{7}{2}\) x 3.5 मीटर
= 26 + 22 मीटर
= 48 मीटर
अतः बगीचे का परिमाप = 48 मीटर
बगीचे का क्षेत्रफल = आयताकार भाग का क्षेत्रफल + 2 अर्धवृत्तों का क्षेत्रफल
= l x b + 2 x \(\frac{1}{2}\)πr2
= 13 x 7 + 2 x \(\frac{1}{2}\) x \(\frac{22}{7}\) x 3.5 x 3.5
= 91 + 38.5 मीटर2 = 129.5 मीटर2
अतः बगीचे का क्षेत्रफल = 129.5 मीटर2

प्रश्न 4.
फर्श बनाने के लिए उपयोग की जाने वाली एक टाइल का आकार समान्तर चतुर्भुज का है जिसका आधार 24 cm और संगत ऊँचाई 10 cm है। 1080 वर्ग मीटर क्षेत्रफल के एक फर्श को ढकने के लिए ऐसी कितनी टाइलों की आवश्यकता है? फर्श के कोनों को भरने के लिए आवश्यकतानुसार आप टाइलों को किसी भी रूप में तोड़ सकते हैं।
हल:
समान्तर चतुर्भुज का आधार = 24 सेमी
ऊँचाई = 10 सेमी।
एक टाइल का क्षेत्रफल = आधार x ऊँचाई
= 24 सेमी x 10 सेमी
= 240 सेमी2
फर्श का क्षेत्रफल = 1080 वर्ग मीटर
= 1080 x 100 x 100 वर्ग सेमी
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-4
= 45,000 टाइलें
अतः फर्श को ढकने के लिए आवश्यक टाइलों की संख्या = 45,000

प्रश्न 5.
एक चींटी किसी फर्श पर बिखरे हुए विभिन्न आकारों के भोज्य पदार्थ के टुकड़ों के चारों ओर घूम रही है।
भोज्य पदार्थ के किस टुकड़े के लिए चींटी को लम्बा चक्कर लगाना पड़ेगा? स्मरण रखिए, वृत्त की परिधि c = 2πr, जहाँ r वृत्त की त्रिज्या है, की सहायता से प्राप्त की जा सकती है।
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-5
हल:
दी गई आकृतियों पर बिन्दु A, B, C और D अंकित किए। माना कि चींटी प्रत्येक आकृति में भोज्य पदार्थों के टुकड़ों के चारों ओर घूमने के लिए बिन्दु A से प्रारम्भ करके पुनः उसी बिन्दु पर पहुँचती है।

1. भोज्य पदार्थ के (a) टुकड़े के लिए;
यहाँ r = \(\frac{2.8}{2}\) सेमी = 1.4 सेमी
चींटी द्वारा चली गई दूरी= चाप AB + दूरी BA
\(\frac{1}{2}\) x 2πr + BA
= \(\frac{1}{2}\) x 2 x \(\frac{22}{7}\) x 14 + 2.8 सेमी
= 4.4 + 2.8 = 7.2 सेमी

1. भोज्य पदार्थ के (b) टुकड़े के लिए,
चींटी द्वारा चली गई दूरी = चाप AB + दूरी BC + CD + DA
= \(\frac{1}{2}\) x 2πr + 1.5 सेमी + 2.8 सेमी + 1.5 सेमी
= \(\frac{1}{2}\) x 2 x \(\frac{22}{7}\) x 1.4 + 1.5 + 2.8 + 1.5 सेमी
= 4.4 सेमी + 5.8 सेमी
= 10.2 सेमी

3. भोज्य पदार्थ के (c) टुकड़े के लिए,
चींटी द्वारा चली गई दूरी = चाप AB + BC + CA
= \(\frac{1}{2}\) x 2πr + 2 सेमी + 2 सेमी
= \(\frac{22}{7}\) x 1.4 सेमी + 2 सेमी + 2 सेमी
= 4.4 सेमी + 4 सेमी = 8.4 सेमी
स्पष्ट है कि चींटी को भोज्य पदार्थ (b) टुकड़े के लिए लम्बा चक्कर लगाना पड़ेगा।

पाठ्य-पुस्तक पृष्ठ संख्या # 180

MP Board Solutions

प्रयास कीजिए (क्रमांक 11.2)

प्रश्न 1.
नजमा की बहन के पास भी एक समलम्ब के आकार का प्लॉट है जैसा कि संलग्न आकृति में दर्शाया गया है। इसे तीन भागों में बाँटिए। दर्शाइए कि समलम्ब WXYZ का क्षेत्रफल = h \(\frac{a+b}{2}\).
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-6
हल:
माना कि Y और Z से लम्ब WX पर क्रमशः L तथा M पर मिलते हैं।
तब, समलम्ब WXYZ का क्षेत्रफल
= समकोण ∆LXY का क्षेत्रफल + आयत MLYZ का क्षेत्रफल + समकोण ∆WMZ का क्षेत्रफल
= \(\frac{1}{2}\) x LX x YL + ML x LY + \(\frac{1}{2}\) x WM x ZM
= \(\frac{1}{2}\) x d x h + h x h + \(\frac{1}{2}\) + x c x h
= \(\frac{1}{2}\)h (d + 2b + c)
= \(\frac{1}{2}\)h (2b + c + d)
= \(\frac{1}{2}\)h (b + b + c + d)
= \(\frac{1}{2}\)h (b + a)
(∴ a = b + c + d)
अतः समलम्ब WXYZ का क्षेत्रफल = h \(\frac{a+b}{2}\)

प्रश्न 2.
यदि h = 10 cm, c = 6 cm, b = 12 cm, d = 4cm, तो इसके प्रत्येक भाग का मान अलग-अलग ज्ञात कीजिए और WXYZ का क्षेत्रफल ज्ञात करने के लिए इनका योग कीजिए। h, a तथा b का मान व्यंजक \(\frac{h(a+b)}{2}\) में रखते हुए इसका सत्यापन कीजिए।
हल:
यहाँ h = 10 cm, c = 6 cm, b = 12 cm, d = 4 cm.
समलम्ब WXYZ का क्षेत्रफल = समकोण ∆LXY का क्षेत्रफल + आयत MLYZ का क्षेत्रफल + समकोण ∆WMZ का क्षेत्रफल
= \(\frac{1}{2}\) x d x h + b x h + \(\frac{1}{2}\) x c x h
= \(\frac{1}{2}\) x 4 x 10 + 12 x 10 + \(\frac{1}{2}\) x 6 x 10
= 20 + 120 + 30 = 170 cm2
सत्यापन:
समलम्ब WXYZ का क्षेत्रफल = h \(\frac{a+b}{2}\)
यहाँ, a = c + b + d = 6 cm + 12 cm + 4 cm = 22 cm
∴ समलम्ब का क्षेत्रफल = 10 x \(\frac{22+12}{2}\) cm2
= 5 x 34 cm2 = 170 cm2
अतः सूत्र द्वारा क्षेत्रफल का सत्यापन होता है।

पाठ्य-पुस्तक पृष्ठ संख्या # 181

इन्हें कीजिए (क्रमांक 11.1)

प्रश्न 1.
1. आलेख कागज (ग्राफ पेपर) के अन्दर कोई भी समलम्ब WXYZ खींचिए जैसाकि संलग्न आकृति 11.9 में दर्शाया गया है और इसे काटकर बाहर निकालिए।
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-7
2. भुजा XY को मोड़कर इसका मध्य बिन्दु ज्ञात कीजिए और इसे A नाम दीजिए (आकृति 11.10)।
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-8
3. भुजा ZA के साथ-साथ काटते हुए समलम्ब WXYZ को दो भागों में काटिए। ∆ZYA को ऐसे रखिए जैसा कि आकृति 11.11 में दर्शाया गया है जिसमें AY को AX के ऊपर रखा गया है। बड़े त्रिभुज के आधार की लम्बाई क्या है? इस त्रिभुज के क्षेत्रफल का व्यंजक लिखिए (आकृति 11.11)।
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-9
4. इस त्रिभुज और समलम्ब WXYZ का क्षेत्रफल समान है। (कैसे)? त्रिभुज के क्षेत्रफल के व्यंजक का उपयोग करते हुए समलम्ब के क्षेत्रफल का व्यंजक प्राप्त कीजिए।
हल:
3 बड़े त्रिभुज के आधार की लम्बाई
= WB = WX + XB
= WX + ZY
= a+b
∆WBZ का क्षेत्रफल = \(\frac{1}{2}\) x आधार x ऊँचाई
= \(\frac{1}{2}\) x WB x h
= \(\frac{1}{2}\) (a + b) x h
परन्तु समलम्ब WXYZ का क्षेत्रफल = \(\frac{1}{2}\) x (a + b) h
∴ समलम्ब का क्षेत्रफल = ∆WBZ का क्षेत्रफल अतः समलम्ब का क्षेत्रफल = \(\frac{1}{2}\) x त्रिभुज का आधार x इसकी ऊँचाई

MP Board Solutions

प्रयास कीजिए (क्रमांक 11.3)

प्रश्न 1.
निम्नलिखित समलम्बों का क्षेत्रफल ज्ञात कीजिए (आकृति : 11.12)।
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-10
हल:
(i) यहाँ, a = 9 सेमी
b = 7 सेमी तथा
h = 3 सेमी
∴ समलम्ब का क्षेत्रफल = h \(\frac{a+b}{2}\)
∴ समलम्ब का क्षेत्रफल = 3 x \(\frac{9+7}{2}\) वर्ग सेमी
= 3 x \(\frac{16}{2}\) वर्ग सेमी
= 24 वर्ग सेमी
अतः समलम्ब का क्षेत्रफल = 24 वर्ग सेमी

(ii) यहाँ, a = 10 सेमी
b = 5 सेमी तथा
h = 6 सेमी
समलम्ब का क्षेत्रफल = h \(\frac{a+b}{2}\)
समलम्ब का क्षेत्रफल = 6 x \(\frac{10+5}{2}\) वर्ग सेमी
= 3 x 15 = 45 वर्ग सेमी
अतः समलम्ब का क्षेत्रफल = 45 वर्ग सेमी

इन्हें कीजिए (क्रमांक 11.2)

प्रश्न 1.
1. कक्षा VII में हमने विभिन्न परिमापों लेकिन समान क्षेत्रफलों वाले समान्तर चतुर्भुजों की रचना करना सीखा है। क्या यह समलम्बों के लिए भी किया जा सकता है? जाँच कीजिए क्या विभिन्न परिमापों वाले निम्नलिखित समलम्ब क्षेत्रफल में समान हैं (आकृति 11.13)
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-11
2. हम जानते हैं। कि सभी सर्वांगसम आकृतियाँ क्षेत्रफल में समान होती हैं। क्या हम कह सकते हैं कि समान क्षेत्रफल वाली आकृतियाँ सर्वांगसम भी होती हैं? क्या ये आकृतियाँ सर्वांगसम हैं?
3. एक वर्गाकार शीट पर कम से कम तीन ऐसे समलम्ब खींचिए जिनके परिमाप समान हों परन्तु क्षेत्रफल विभिन्न हों।
हल:
1. हाँ, यह समलम्बों के लिए भी किया जा सकता है।
पहले समलम्ब का क्षेत्रफल = \(\frac{1}{2}\)h(a+b)
= \(\frac{a+b}{2}\) x 4 x (10 + 14) वर्ग इकाई
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-12
= 2 x 24 वर्ग इकाई
= 48 वर्ग इकाई।
दूसरे समलम्ब का क्षेत्रफल = \(\frac{1}{2}\) x (4 + 8) x 8 वर्ग इकाई
= 4 x 12 वर्ग इकाई
= 48 वर्ग इकाई
तीसरे समलम्ब का क्षेत्रफल = \(\frac{a+b}{2}\) x (6 + 10) x 6 वर्ग इकाई
= 3 x 16 वर्ग इकाई
= 48 वर्ग इकाई
पहले समलम्ब का परिमाप = 5 + 10 + 4 + 14 इकाई
= 33 इकाई
दूसरे समलम्ब का परिमाप = 8 + 4 + 8 + 8 इकाई
= 28 इकाई
तीसरे समलम्ब का परिमाप = 6 + 6 + 10 + 7 इकाई
= 29 इकाई
अतः स्पष्ट है कि विभिन्न परिमाप वाले समलम्ब क्षेत्रफल में समान हैं।
2. यह आवश्यक नहीं कि समान क्षेत्रफल वाली आकृतियाँ सर्वांगसम भी हों।
3. ऐसी आकृतियाँ जिनके परिमाप समान हैं परन्तु क्षेत्रफल विभिन्न हैं

MP Board Solutions

पाठ्य-पुस्तक पृष्ठ संख्या # 182

प्रयास कीजिए (क्रमांक 11.4)

प्रश्न 1.
हम जानते हैं कि समान्तर चतुर्भुज भी एक चतुर्भुज है। आइए, इसे भी हम दो त्रिभुजों में विभक्त करते हैं और इन दोनों त्रिभुजों का क्षेत्रफल ज्ञात करते हैं। इस प्रकार समान्तर चतुर्भुज का क्षेत्रफल भी ज्ञात करते हैं। क्या यह सूत्र आपको पूर्व में ज्ञात सूत्र से मेल खाता है (आकृति 11.15)?
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-13
हल:
समान्तर चतुर्भुज का क्षेत्रफल = ∆ABC का क्षेत्रफल + ∆BCD का क्षेत्रफल
\(\frac{1}{2}\) = x b x h + \(\frac{1}{2}\) x b x h
= \(\frac{1}{2}\) x (b + b) x h
\(\frac{1}{2}\) x 2b x h = b x h = bh
समान्तर चतुर्भुज ABCD का क्षेत्रफल = \(\frac{1}{2}\) (समान्तर भुजाओं का योग) – उनके बीच की दूरी
= \(\frac{1}{2}\) x (b + b) x h
\(\frac{1}{2}\) x 2b x h = bh
हाँ, यह सूत्र पूर्व में ज्ञात सूत्र से मेल खाता है।

पाठ्य-पुस्तक पृष्ठ संख्या # 183

सोचिए, चर्चा कीजिए और लिखिए (क्रमांक 11.1)

प्रश्न 1.
समान्तर चतुर्भुज का विकर्ण खींचकर इसे दो सर्वांगसम त्रिभुजों में बाँटा जाता है। क्या समलम्ब को भी दो सर्वांगसम त्रिभुजों में बाँटा जा सकता है?
उत्तर:
नहीं, समलम्ब को दो सर्वांगसम त्रिभुजों में नहीं बाँटा जा सकता है।

प्रयास कीजिए (क्रमांक 11.5)

प्रश्न 1.
निम्नलिखित चतुर्भुजों का क्षेत्रफल ज्ञात कीजिए (आकृति 11.16)
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-14
हल:
(i) यहाँ d = 6 सेमी,
h1 = 3 सेमी,
h2 = 5 सेमी
चतुर्भुज ABCD का क्षेत्रफल = \(\frac{1}{2}\) x d x (h1 + h2)
चतुर्भुज ABCD का क्षेत्रफल = \(\frac{1}{2}\) x 6 x (3 + 5)
वर्ग सेमी = 3 x 8 वर्ग सेमी
= 24 वर्ग सेमी।

(ii) यहाँ, d1 = 7 सेमी तथा
d2 = 6 सेमी
चतुर्भुज PQRS का क्षेत्रफल = \(\frac{1}{2}\) – विकर्णों का गुणनफल
= \(\frac{1}{2}\) x d1 x d2
समचतुर्भुज PQRS का क्षेत्रफल = \(\frac{1}{2}\) x 7 x 6 वर्ग सेमी
= 21 वर्ग सेमी।

(iii) चतुर्भुज MLNO का क्षेत्रफल = समान्तर चतुर्भुज MLNO का क्षेत्रफल
= 2 x ∆LMN का क्षेत्रफल
= 2 x \(\frac{1}{2}\) x LN x MP x
= 2 x \(\frac{1}{2}\) x 8 सेमी x 2 सेमी
= 16 वर्ग सेमी।

MP Board Solutions

पाठ्य-पुस्तक पृष्ठ संख्या # 184

प्रयास कीजिए (क्रमांक 11.6)

प्रश्न 1.
1. निम्नलिखित बहुभुजों (आकृति 11.17) का क्षेत्रफल ज्ञात करने के लिए इन्हें विभिन्न भागों (त्रिभुजों एवं समलम्बो) में विभाजित कीजिए।
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-15
2. बहुभुज ABCDE को विभिन्न भागों में बाँटा गया है जैसा कि आकृति 11.18 में दर्शाया गया है। यदि AD = 8 cm, AH = 6cm, AG = 4cm, AF = 3cm और लम्ब BF = 2cm, CH = 3 cm, EG = 2.5 cm तो इसका क्षेत्रफल ज्ञात कीजिए।
बहुभुज ABCDE का क्षेत्रफल = ∆AFB का क्षेत्रफल + …
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-16
∆AFB का क्षेत्रफल = \(\frac{1}{2}\) x AF x BF
= \(\frac{1}{2}\) x 3 x 2 = …..
समलम्ब FBCH का क्षेत्रफल = FH x \(\frac{(BH+CH)}{2}\) = 3 x \(\frac{(2+3)}{2}\)
[FH = AH – AF]
∆CHD का क्षेत्रफल = F x HD x CH = …, ∆ADE का क्षेत्रफल = \(\frac{1}{2}\) x AD x GE = …
इसलिए बहुभुज ABCDE का क्षेत्रफल = ….

3. यदि MP = 9 cm, MD = 7 cm, MC = 6 cm, MB=4cm, MA=2 cm तो बहुभुज MNOPQR(आकृति 11.19) का क्षेत्रफल ज्ञात कीजिए। NA, OC, QD एवं RB विकर्ण MP पर खींचे गए लंब हैं।
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-17
हल:
1. दिए गए बहुभुज EFGHI को निम्नांकित भागों में विभाजित किया गया है।
बहुभुज का क्षेत्रफल = ∆FGL का क्षेत्रफल + समलम्ब LGHN का क्षेत्रफल + ∆NHI का क्षेत्रफल + ∆EFI का क्षेत्रफल
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-18
= \(\frac{1}{2}\) x FL x GL + \(\frac{1}{2}\) (GL + HN) x LN + \(\frac{1}{2}\) x NI x HN + \(\frac{1}{2}\) x FI x ME
MP Board Class 8th Maths Solutions Chapter 11 क्षेत्रमिति Ex 11.1 img-19
बहुभुज MNOPQR को विभिन्न भागों में विभाजित किया गया है।
बहुभुज MNOPQR का क्षेत्रफल = ∆MTN का क्षेत्रफल + ∆OSN का क्षेत्रफल + समलम्ब OPUS का क्षेत्रफल + ∆PQU का क्षेत्रफल + ∆RVQ का क्षेत्रफल + समलम्ब MTVR का क्षेत्रफल
= \(\frac{1}{2}\) x NT x TM + \(\frac{1}{2}\) x SN x OS + \(\frac{1}{2}\) (OS + PU) x SU + \(\frac{1}{2}\) x UQ x PU + \(\frac{1}{2}\) x QV x VR + \(\frac{1}{2}\) = (TM X VR) x TV

2. यहाँ, AD = 8 सेमी
AH = 6 सेमी
AG = 4 सेमी
AF = 3 सेमी
लम्ब BF = 2 सेमी
CH = 3 सेमी
EG = 2.5 सेमी।
बहुभुज ABCDE का क्षेत्रफल = ∆AFB का क्षेत्रफल + समलम्ब FBCH का क्षेत्रफल + ∆CHD का क्षेत्रफल + ∆ADE का क्षेत्रफल
∆AFB का क्षेत्रफल = \(\frac{1}{2}\) x AF x BF
= 1 x 3 x 2 = 3 सेमी
समलम्ब FBCH का क्षेत्रफल = FH x \(\frac{(BF+CH)}{2}\)
= 3 x \(\frac{2+3}{2}\) = \(\frac{15}{2}\) सेमी2
= 7.5 सेमी2 (FH = AH – AF)
∆CHD का क्षेत्रफल= \(\frac{2+3}{2}\) x HD x CH
= \(\frac{1}{2}\) x 2 x 3 = 3 सेमी2 (HD = AD – AH)
∆ADE का क्षेत्रफल = \(\frac{1}{2}\) x AD x BE = \(\frac{1}{2}\) x 8 x 2.5
= 10.0 सेमी2
इसीलिए बहुभुज ABCDE का क्षेत्रफल
= 3 सेमी2 + 7.5 सेमी2 + 3 सेमी2 + 10.0 सेमी2
= 23.5 सेमी2

3. यहाँ, MP= 9 सेमी
MD = 7 सेमी
MC = 6 सेमी
MB = 4 सेमी
MA = 2 सेमी।
बहुभुज MNOPQR का क्षेत्रफल = ∆MNA का क्षेत्रफल + समलम्ब ANOC का क्षेत्रफल + ∆OCP का क्षेत्रफल + AQDP का क्षेत्रफल + समलम्ब BDQR का क्षेत्रफल + ∆RBM का क्षेत्रफल
= \(\frac{1}{2}\) AM x MN + \(\frac{1}{2}\) x (AN + OC) x AC + \(\frac{1}{2}\) CP x OC + \(\frac{1}{2}\)DP x DQ + \(\frac{1}{2}\) (BN + DQ) – BD + \(\frac{1}{2}\) BM x BR
= \(\frac{1}{2}\) x 2 x 2.5 वर्ग सेमी + \(\frac{1}{2}\) 2x (2.5 + 3) x 4 वर्ग सेमी + \(\frac{1}{2}\) x 3 x 3 वर्ग सेमी + \(\frac{1}{2}\) x 2 x 2 वर्ग सेमी + \(\frac{1}{2}\) x (2.5 + 2) x 3 वर्ग सेमी + \(\frac{1}{2}\) x 4 x 2.5 वर्ग सेमी।
= 2.5 + 11.0 + 4.5 + 2 + 6.75 + 500 वर्ग सेमी
= 31.75 वर्ग सेमी।
(∴AC = MC – MA = 6 – 2 = 4 सेमी
CP = MP – MC = 9 – 6 = 3 सेमी
BD = MD – MB = 7 – 4 = 3 सेमी
DP = MP – MD = 9 – 7 = 2 सेमी)

MP Board Class 8th Maths Solutions

MP Board Class 9th Social Science Solutions Chapter 5 India: Climate

MP Board Class 9th Social Science Solutions Chapter 5 India: Climate

MP Board Class 9th Social Science Chapter 5 Text Book Questions

Choose the Correct Answer:

Questions 1.
The time of the south – west moons – in India is –
(a) October to November
(b) june to September
(c) March to May
(d) December to February
Answer:
(b) june to September

Questions 2.
Which state does receive the lowest rainfall due to southwest monsoon?
(a) Rajasthan
(b) Karnataka
(c) Tamilanadu
(d) Punjab
Answer:
(a) Rajasthan

Questions 3.
Coromandal coast in India receives maximum rainfall in –
(a) January – February
(b) June – September
(c) March – May
(d) October – November
Answer:
(d) October – November

Questions 4.
Maximum variation in the amount of rainfall is found in –
(a) Maharashtra
(b) Assam
(c) Andhra Pradesh
(d) Rajastan
Answer:
(d) Rajastan

Match the following:
MP Board Class 9th Social Science Solutions Chapter 5 India Climate - 1
Answer:
1. (d) Area of very high rainfall.
2. (c) The region which receives rainfall from retreating monsoon.
3. (b) Area of less then 50 cm. rainfall.
4. (a) Hot winds of the summer season in Northern India.

MP Board Solutions

MP Board Class 9th Social Science Chapter 5 Very Short Answer Type Questions

Question 1.
What do yon mean by climate?
Answer:
The average weather conditions, over a long period of time of a’ particular place are known as climate.

Question 2.
Which type of climate region is India called?
Answer:
India called a monsoon type of climate.

Question 3.
What is the meaning of “Monsoon”?
Answer:
Monsoon means the winds bowing on the earths surface’ which change their direction in Summer and Winter season

Question 4.
What are the main branches of Monsoon?
Answer:
There are two main branches of monsoon:

  • The Arabian sea branch.
  • The Bay of Bengal branch.

MP Board Solutions

MP Board Class 9th Social Science Chapter 5 Short Answer Type Questions

Question 1.
How do the relief features of India affect the climate?
Answer:
The relief features of India influence the temperatures as well as the rainfall. The Himalayas on the northern boundary of the country extending from east to west protect India from cold breeze coming from the North in winter season. They intercept the moisture bearing monsoon winds and help in precipitation.

Question 2.
Why is the climate of northern India uneven?
Answer:
The climate of northern India is of Continental type. Distance from the sea and temperate climate effect its climate. Hence the climate here is uneven.

Question 3.
Why does the Tamilnadu coast receive rainfall in the winter season?
Answer:
Tamilnadu coast receives most of the rainfall by they retreating monsoons. These winds blow in the months of October and November from the land to sea through north – east direction. When they cross over Bay of Bengal they pick up moisture and cause rainfall in Tamilnadu.

Question 4.
Which are the high rainfall areas of India?
Answer:
Bihar, Jharkhand, Orissa, Eastern Uttar Pradesh, Tamilnadu and West Bengal are the highland rainfall areas of India.

Question 5.
Why is Indian agriculture called a gamble of monsoon?
Answer:
In India agriculture depends on monsoon which is most uncertain. Sometimes it arrives on time and it rains in adequate amount. But sometimes it is late and the amount of rainfall is less. It adversely affects the agriculture. That is why Indian agriculture is said to be a gamble of monsoon.

Question 6.
How does climate affect the health?
Answer:
It has been seen that sultry hot weather is followed by widespread rains which give rise to many diseases. Water is stored in the pots and ponds, which becomes the birthplace of mosquitoes and spread diseases. Thus, climate affects our health too.

MP Board Solutions

Question 7.
How do monsoon winds originate?
Answer:
Monsoon winds are related to weather because they blow from land to sea for six months and from sea to land for next six months. There are several concepts of the origin of monsoon but the thermal concept is important. According to this concept, monsoon winds are in fact land and sea breezes on a large scale.

By differential heating of the land and the sea winds blow from sea to land in the daytime and from land to ,sea in the night. Similarly in summer season winds blow’ from high pressure system on sea to low pressure system on lands. During winters, a complete reversal takes place with high pressure on the land and the low pressure over the sea. At this time winds start blowing from land to sea. This is called monsoon.

MP Board Class 9th Social Science Chapter 5 Long Answer Type Questions

Question 1.
Explain the factors influencing the Indian Climate.
Answer:
The factors influencing Indian climate are:
1. Latitude:
India is situated in the northern hemisphere in the south of Asia continent. Tropic of cancer passes through the center of the country. Due to this specific location, its southern part has tropical climate and northern part has continental type of climate.

2. Distance from the sea:
The effect of the distance from the sea is very clearly seen on the distribution of temperature of India. That is northern plains have continental type of climate.

3. Relief features:
Relief features of the country influence the temperatures as well as the rainfall. The Himalayas on the northern boundary of the country extending from east to west protects India from cold breeze coming from the north in winter season. They intercept the moisture bearing monsoon winds and help in precipitation.

4. Distribution of water and land:
India is a part of Asia continent. During summers the north – western plains of India gets more heated and center of low pressure is established here. This low – pressure area attracts the winds coming from the Indian Ocean. During winters this area becomes more colder and center of high pressure develops here and wind starts blowing from land to sea. These winds influence the climate of India. Rainfall occurs due to the winds coming from the sea.

5. Jet streams blowing in the upper atmosphere:
A westerly jet stream blows above northern India in winter season but in rainy season it moves northwards above Tibetan plateau. Easterly jet stream develops at about 15°N latitude. Nature of these jet streams is responsible for summer monsoon. Shifting of jet streams towards north and south is the cause of uncertainty and irregularity of south-west monsoon in India.

6. Monsoon winds:
In India monsoon winds blow in summer from sea to landmass and in winter season from landmass to sea. This change in monsoon winds changes the weather and seasons in India.

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Question 2.
Explain the main characteristics of the monsoon and describe the different seasons.
Answer:
Main characteristics of monsoon –

  1. Monsoon winds are seasonal winds. They blow according to season.
  2. Seasonal winds blowing in summer season are called summer monsoon and winds blowing in winter season arc called winter monsoon.
  3. Due to the peninsular shape of India summer monsoon winds divide into two parts. The Arabian Sea Monsoon and the Bay of Bengal Monsoon.
  4. In summer season these winds blow from south – west to north – east and in winters from north – east to south – west in India.
  5. These winds are hot and humid in summer season as they blow from sea to land whereas in winters they are cold and dry because they blow from land to sea.
  6. Rainfall in India is due to monsoon winds. Maximum amount of rainfall is received from south – west monsoon winds.
  7. Time of monsoon and amount of rainfall vary.

Different Seasons Of India:
Four main seasons are:

  1. Cold Weather Season
  2. Hot Weather Season
  3. Advancing Monsoon Season
  4. Retreating Monsoon Season

1. Cold Weather Season:
December to February. The cold weather persists from December to February throughout India. January is the coldest month. Temperature varies from 10°C to 25°C. Temperature is between 10°C to 15°C in the northern plains and 25°C in the southern parts of the country. There is high pressure the northern plains due to the cold climatic conditions. The cold dry winds blow from the high pressure towards the low pressure equatorial regions.

These winds are north – westerly in the Ganga Plains and north- easterly over the Bay of Bengal. Culy two parts of the country receive rain in this season. First is the north – west part of India which receives rainfall from the Mediterranean cyclones. Second is tire Coast of Tamilnadu which gets rainfall in winter because of the north – east winds which blow over the Bay of Bengal. But in other parts of the country, the weather is pleasant with clear skies and bright sun – shine.

2. Hot Weather Season:
March to May. During this period there is a rapid shift of the belt of heat from south to north. In March, April and May the highest day temperatures occur in the Deccan Plateau (38°C), Gujarat (43°C) and North-West of India (48°C) respectively.

In May the rising temperature leads to low pressure in a wider area from the Thar Desert to Chhotanagpur. Because of this low pressure the moisture – laden winds from the Arabian Sea are attracted towards this area and consequently there is (about 158 ems) rainfall in the Rajmahal and Chhotanagpur Hills lying between the Satpuras and the Vindhyas.

Kerala and Western Ghats also experience the pre – monsoons showers. Assam and Bengal also receive some rainfall by means of evening thunderstorms. Bid the north – west areas remains dry, and hot winds, called the too, engulf the whole areas. Sometimes dust storms in Punjab, Haryan and U.P. are followed by light rain and cool breeze.

3. Advancing Monsoon season:
This season runs from June to September. During these mouths Me south – west monsoon winds blow northwards in two branches from the Arabian Sea and the Bay of Bengal. They make rainfall almost in the whole of northern India.

These winds blow from the oceanic high pressure areas towards the low pressure areas of land and make a heavy rainfall. The Arabian Sea branch causes heavy rainfall exceeding 300 ems along the coastal areas of the Western Ghats but this rainfall decreases as the monsoons go further.

As such Kutch receives less than 40 cm of rainfall. The Bay of Bengal branch causes heavy rainfall in the hills of Assam. Cherrapunji receives more than 1,000 cm of rainfall annually. As the monsoon winds take a turn from east to west because of the Himalayas, the rain goes on decreasing. As such when Kolkata gets, a rainfall of 119 cm Allahabad gets 76 cm due to the uncertainty and uneven distribution of rainfall,, floods and droughts are common during this season.

4. Retreating Monsoon Season:
This seasons is in October and November. In this season the monsoons start to retreat back. Passing over from Bay of Bengal they strike on the coast of Tamilnadu and give sufficient rainfall. This rainfall is not certain and equally distributed.

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Question 3.
Show the distribution of rainfall in the Map of India and name the different areas.
Answer:
Areas of Very High Rainfall. Assam, the Ganga Delta, the Western Ghats and the Western Coastal Regions and the north mountainous regions (the Himalayas) receive heavy rainfall of 200 cm and above annually.

MP Board Class 9th Social Science Solutions Chapter 5 India Climate - 2

Areas of High Rainfall:
Areas which get annual rainfall between 100 cm to 200 cm roughly come under this group. Madhya Pradesh, Onssa, Chhota Nagpur, Western Bengal, Bihar, Eastern U.P., North Eastern Punjab, Eastern parts of Tamilnadu and the eastern slopes of Western Ghats receive moderate rainfall.

Area of Normal Rainfall:
The areas receiving rainfall between 50 cm and 100 cm come under this category. This category consists of Deccan Plateau, Western U.P., South Eastern Punjab, Eastern Rajasthan and parts of Kashmir.

Areas of Low Rainfall:
Western Rajasthan, Kutch, South Eastern parts of Haryana, North-Eastern Kashmir receive annual rainfall of less than 50 cm and hence called areas of scanty rainfall.

Question 4.
Describe the effect of climate on human life.
Answer:
The climate of a country affects its socioeconomic life. The effect of diversities of climatic conditions can be seen in our country also. Monsoon is said to be the center of Indian Economic life.

  1. Due to the climates of India agriculture is normally possible throughout the year.
  2. Amount of monsoon rainfall is sufficient for agriculture.
  3. Different climates create favorable environment for the production of various crops.
  4. Maximum rainfall is in the months of June, July and August which is beneficial for early ripening crops like jawar, bazra, and maize.
  5. Fodder is also available due to rains which helps in cattle rearing.
  6. The country remains dry or there are no rains for long period of the year, during which the grasses dry up resulting in scarcity of fodder. That is why there is no evergreen pastures or grazing land in the country.
  7. Sultry hot weather is followed by widespread rains, which give rise to many diseases.
  8. The uncertainty of rainfall highly affects the agriculture.
  9. Drought and famine are the serious problems of Indian farmers. Heavy rainfall sometimes causes floods.
  10. ‘Loo’ in the summer season makes the outdoor life very difficult.
  11. Good quality is produced when adequate amount of rain is received in proper time. But if monsoon is late and amount of rainfall is less it adversely affects the agriculture.
  12. Climate diversities result in the diversity in the forest resources, animal resources, industries, transport and human life.

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MP Board Class 9th Social Science Chapter 5 Other Important Questions

Choose the correct answer:

Question 1.
Tropic of cancer divides India into –
(a) Two zones
(b) Three zones
(c) Four Zones
(d) Seven zone
Answer:
(a) Two zones

Question 2.
Monsoon winds are related to –
(a) Weather
(b) Climate
(c) Season
(d) None of the above
Answer:
(a) Weather

Question 3.
Retreating, monsoon season ranges from –
(a) March to May
(b) June to September
(c) October to November
(d) May to August
Answer:
(c) October to November

Question 4.
The state which receives sufficient rainfall during retreating monsoon is –
(a) Kerala
(b) Tamilnadu
(c) Bihar
(d) Assam
Answer:
(b) Tamilnadu

Question 5.
Which one is not the area of high rainfall?
(a) Western Ghats
(b) Jharkhand
(c) Bihar
(d) Orissa
Answer:
(a) Western Ghats

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Match the – following:

MP Board Class 9th Social Science Solutions Chapter 5 India Climate - 3
Answer:
1. (c) Tropical climate
2. (a) Formed from the Arabic word
3. (d) Meghalaya
4. (b) Mango shower

MP Board Class 9th Social Science Chapter 5 Very Short Answer Type Questions

Question 1.
What is weather?
Answer:
Weather is the study of the atmospheric conditions like temperature, pressure, wind, humidity and rainfall over a short period of time or at a specific time at a particular place.

Question 2.
What is climate?
Answer:
The average weather conditions over a long period of time of a particular place is known as climate.

Question 3.
Name the type of climate found in India?
Answer:
Monsoon type of climate.

Question 4.
What are the factors responsible for a great diversity of climatic conditions?
Answer:
There are two factors which are responsible for a great diversity of climatic conditions.

  • The typical geographical location
  • Vast area of India.

Question 5.
Tropic of Cancer divides India into two zones. Name these zones
Answer:

  • Tropical zone
  • Sub-tropical zone.

Question 6.
Name the three highest rainfall months.
Answer:
June, July and August.

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Question 7.
What are ‘Mango Showers’?
Answer:
Towards the end of the summer season, pre – monsoon showers are a common phenomenon in Kerala and the coastal areas of Karnataka. These showers are locally known as ‘Mango Showers’, since they help in early ripening of mangoes.

Question 8.
What is Kalbaishaki?
Answer:
Kalbaishaki in the local nomenclature means Calamity of the month of Baisakh. The north westerly and northerly winds in Bengal and Assam cause very sharp showers. They are essentially evening thunderstorms.

Question 9.
What are ‘Blossom Showers’?
Answer:
Thunderstorms developed in hot weather season cause some rainfall in Kerala. These rains are known as ‘Blossom Showers’ in Kerala because they are beneficial to the coffee plantation of the state.

Question 10.
Which state in India receives bulk of its rainfall from retreating monsoon?
Answer:
Tamilnadu.

Question 11.
Give one most striking characteristic feature of the monsoons?
Answer:
The most striking characteristic feature of the monsoons is the complete reversal of winds.

Question 12.
What is the average annual rainfall of India?
Answer:
It is 105 cm.

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Question 13.
Name the areas of very high rainfall?
Answer:
Western Ghats (Kerala, Goa, Coastal Karnataka and Coastal Maharashtra) Assam, Mehgalaya and Eastern Himalayas.

Question 14.
What are jet streams?
Answer:
Jet streams are fast flowing winds blowing in a narrow zone in the upper atmosphere.

MP Board Class 9th Social Science Chapter 5 Short Answer Type Questions

Question 1.
What is meant by western disturbances?
Answer:
The shallow cyclonic depressions which originate over the Mediterranean and travel eastwards across Iran and Pakistan. These winds ultimately reaching the north – west part of India cause rainfall and other weather disturbances.

Question 2.
Name the states on the eastern coast which are frequently – struck by tropical cyclones.
Answer:
The states of Andhra Pradesh, Orissa and Tamilnadu are frequently struck by the tropical cyclones.

Question 3.
Name the four seasons of India.
Answer:
On the basis of the monsoon variations the year is divided into four seasons:

  • The cold weather season – December to February.
  • The hot weather season – March to May.
  • The South-west monsoon season – June to September.
  • The retreating south – west monsoon season – October to November.

Question 4.
Write a note on retreating monsoons.
Answer:
The months of October and November are known for the retreating monsoons. During this season the pressure in north – west India becomes weaker and shifts southward. In the first week of September they withdraw from Rajasthan. In November it is above Karnataka and Tamilnadu. By mid – December it retires completely from the peninsular plateau. Tamilnadu receives sufficient rainfall during retreating monsoon. But the rest part of India remains dry.

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Question 5.
Describe the cold weather season or winter season of India,
Answer:
The Cold Weather Season. Cold weather season lasts from December to February. Temperature varies from 10° to 15°C in Northern plains to 22°C in the southern part of the Peninsula. Due to cold, high pressure is created in the plains. So the winds blow out towards the equatorial low pressure.

These winds are dry and cold. Most parts of India experience fine weather with clear skies and bright sunshine. This season is dry season for India except North – west part of India which receives rainfall from the Mediterranean and the coast of Tamilnadu which gets rainfall from the Bay of Bengal.

MP Board Class 9th Social Science Chapter 5 Long Answer Type Questions

Question 1.
Narrate the mechanism of the monsoons.
Answer:
The word ‘monsoon’ is derived from the Arabic word ‘mausim’ which means season. The formation of season is the chief characteristic feature of this climate. The world ‘monsoon denotes a season in which the wind regime is completely reversed. The direction of wind is reversed periodically. The reversal of direction of the monsoon winds is attributed to the difference in annual temperature on the land and on the sea.

Tire variation in temperature on the land and the sea creates high atmospherics pressure on the sea during summer and on the land during winter season which gives rise to the change in direction of the winds with a change in pressure of tire land. Thus, India which basically falls in the Trade winds zone experiences sudden reversal of winds from Indian Ocean to the land area.

This wind picks up moisture from the sea and enters the country through Arabian Sea and the Bay of Bengal. The Arabian Sea branch of the monsoons – is obstructed by the Western Ghats. The windward side of the Sahyadries receive very heavy rain. These winds then cross over the Western Ghats and cause rainfall in the Deccan Plateau, and Madhya Pradesh.

Thereafter they enter tire Ganga Plains and mingle with the Bay of Bengal branch. An other part of the Arabian Sea passes over the west Rajasthan and along the Aravallis, causing only a scanty rainfall. The Bay of Bengal branch moves towards the north – eastern coast and strikes the Arakan Hill along the Burmese coast.

But a big chunk of these winds is deflected and enters into the Indian sub – continent. This branch also splits into two parts, one part moving towards Ganga Plains and other towards Brahmputra Valley. Thus by July the entire country comes under the influence of monsoons.

MP Board Class 9th Social Science Solutions

MP Board Class 6th Social Science Solutions Miscellaneous Questions 1

MP Board Class 6th Social Science Solutions Miscellaneous Questions 1

MP Board Class 6th Social Science Miscellaneous Questions 1 Short Answer Type Questions

Question 1.
What do you understand by History?
Answer:
History is one way of knowing the past.

Question 2.
Name four sources of knowing History?
Answer:
Inscriptions on stone are called Petrograph.

Question 3.
What is a petrography?
Answer:
Petrography is a branch of petrology that focuses on detailed descriptions of rocks. Someone who studies petrography is called a petrographer. The mineral content and the textural relationships within the rock are described in detail.

Question 4.
What is a Bhojpatra?
Answer:
The bark of birch tree on which ancient books were written, is called as Bhojpatra.

Question 5.
What is a record?
Answer:
Records are the old historic information. These are found on dried palm leaves, the bark of the brich tree, plates of copper and hand written papers.

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Question 6.
Who is primitive man?
Answer:
The man who lived thousands of years ago, was called primitive man.

Question 7.
How did primitive man protect themselves from wild animals?
Answer:
The primitive man protected themselves from animals by burning the fire at the entrance of the caves.

Question 8.
Why is the age of primitive man called the stone age?
Answer:

  1. The man of stone age was having the tools, weapons and pots made of stones.
  2. So this age is called as stone age.

Question 9.
In how many parts stone age has been divided? Name them?
Answer:
The stone age have been divided in to three parts:

  1. Palaeotithic or the Old stone age.
  2. Mesolithic or the Middle Stone Age.
  3. Neolithic or the New Stone Age.

Question 10.
How was fire discovered?
Answer:
It is assumed that the discovery of fire was by accident. When two flint stones were struck against each other, it created sparks which caused leaves to burn. In this way man learnt to light a fire. Fire was very useful to them for light, roasting meat and protection from wild animals.

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Question 11.
Which animals were used by primitive man?
Answer:
The primitive man used animals for different purposes, the dog for hunting, the cow, the buffalo and the goat for milk,the goat, the sheep and the buffalo for meat.

Question 12.
How did the discovery of wheel proved a boon to human beings?
Answer:
Discovery and uses of wheel. Wheel was a very important discovery of the early man. It led to a big advance in the pattern of man’s living. Its discovery made life very much easy in a number of ways. Man now discovered carts which were drawn by animals. People now could travel easily from one place to other. It also helped in movement of objects. It improved the making of pottery.

MP Board Class 6th Social Science Solutions Chapter 1 The Sources of Knowing History img 1

Question 13.
How did primitive man travel from one place to another?
Answer:
There were no means of transport. The primitive man used to walk for going from one place to another.

Question 14.
What is the importance of the family to a person?
Answer:
Father, mother, brother and sister together constitute a family. In bigger families grandfather, grandmother, uncles, aunts also live with their children. This type of family is called joint family.

Question 15.
What is the unit of a society?
Answer:
A family is the unit of society.

Question 16.
Write two characteristics of a developed society?
Answer:
The two characteristics of a developed society:

  1. The spirit, of working together
  2.  Respect for the ideas of other.

Question 17.
What do you understand by interdependence?
Answer:
The dependence on each other to complete a work or fulfill a need is called interdependence.

MP Board Solutions

Question 18.
How many planets are there in the Solar System? Which is called the living planet?
Answer:
1. The Sun and the nine planets which revolve around it make up the ‘Family of the Sun’ or the Solar System.

2. The Solar System consists of the Sun as the centre and Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune and Pluto as planets. In addition, there are in all 44 satellites in our Solar System.

Question 19.
Explain interdependence between two countries with examples?
Answer:
1. The increase and diversity of the needs became the reason for interdependence. Countries depend on each other for things which are not available or available in very little quantity.

2. For example, our country has to depend on other countries for petroleum products i.e., diesel, petrol and kerosene modern equipments and arms for the army. We get these from countries which produce them.

3. On the other hand, we send spices, tea, cement, ready – made garments to other countries.

Question 20.
Write the name of the head of the solar system?
Answer:
Sun is the head of the solar system.

Question 21.
In how many days does the earth go round the sun once?
Answer:
The earth takes 365 days to rotate round the sun.

Question 22.
Write the names of the nearest and farthest planet from the sun?
Answer:
Mercury and Pluto.

MP Board Solutions

Question 23.
The Moon is the satellite of which planet?
Answer:
Earth.

Question 24.
Which is called the red planet?
Answer:
Mars is called the red planet.

Question 25.
What is a light year?
Answer:
A light – year is a unit of distance. It is the distance that light can travel in one year. Light moves at a velocity of about 300,000 kilometers (km) each second. So in one year, it can travel about 10 trillion km. More precisely, one light – year is equal to 9,500,000,000,000 kilometers.

Question 26.
What are latitudes and longitudes?
Answer:
1. The spherical and horizontal lines drawn parallel to the equator are called latitudes.

2. There are 90 latitudes in the northern hemisphere and 90 latitudes in the southern hemisphere. In all there are 180 latitudes drawn on the globe. The equator is the largest latitude drawn on the globe. The equator is also known as the 0° latitude.

3. The 23\(\frac { 1 }{ 2 }\)° W latitude north, in the northern hemisphere is called the tropic of cancer.

4. Similarly the 23\(\frac { 1 }{ 2 }\)° latitude south, in the southern hemisphere is called the tropic of capricorn.

5. The Arctic Circle lies at the distances of 66\(\frac { 1 }{ 2 }\)° N of the equator.

6. The Antarctic Circle 66\(\frac { 1 }{ 2 }\)° S is similar to the Arctic Circle but lies in the southern hemisphere.

7. The vertical lines drawn from north to south are called longitudes.

8. The longitude passes through Greenwich Observatory near London in England is called 0° longitude, Prime Meridian.

9. The other longitudes are drawn east and west of the Prime Meridian.

10. The Prime Meridian divides the world into Eastern (E) and Western (W) hemisphere.

MP Board Solutions

Question 27.
What is a globe?
Answer:
Globe is a three dimensional model of earth or sphere, which gives us the correct idea of the shape of the earth.

Question 28.
What is a map?
Answer:
The following information we can get from a globe:

  1. The earth is a bit flat at the poles.
  2. The shape of earth is spheroid.
  3. The earth is not straight on its axis but a little tilted.
  4. The globe shows the location of oceans, islands, continents, main mountains and countries, etc.
  5. The characteristics of the horizontal and vertical lines drawn on the globe.

Question 29.
Write the names of the continents and the oceans of the world?
Answer:
List of Continents:

  1. North America
  2. South America
  3. Asia
  4. Europe
  5. Africa
  6. Australia
  7. Antractica .

List of Oceans:

  1. Pacific Ocean
  2. Atlantic Ocean
  3. Indian Ocean
  4. Arctic Ocean

List of Seas:

  1. Arabian sea.

List of Islands:

  1. Andaman and Nicobar Islands.

MP Board Solutions

Question 30.
Why latitudes and longitudes are drawn on a globe?
Answer:
To locate the exact position of places on earth, latitudes and longitudes lines are drawn on a globe or a map. We can easily locate the geographical position of any village, city, town, country, or any place with the help of these lines.

Question 31.
Which latitude passes through the centre of India?
Answer:
Latitude.

Question 32.
In which Hemispheres India is situated?
Answer:
Northern Hemisphere.

Question 33.
What is the name given to the biggest latitude?
Answer:
Equator.

Question 34.
What is Prime Meridian?
Answer:
Equator:
Equator is an imaginary line which is drawn on the globes (the model of earth) in such a way that at all points it lies exactly half way between the north pole and the south pole.

Prime Meridian:

  1. Like the main latitude (0° equator), there is a main longitude. This longitude passes through Greenwich Observatory near Landon in England. This is called 0° longitude, Prime Meridian.
  2. The world has been divided by these lines into four hemisphere.

Question 35.
What is the name given to 23\(\frac { 1 }{ 2 }\)° South latitude?
Answer:
Tropic of capricorn.

MP Board Solutions

Question 36.
What are the differences between latitude and longitude? Write any three?
Answer:
Latitude:

  1. The line drawn horizontally parallel to the equator on the globe is latitude.
  2. All the horizontally parallel lines are not in equal size.
  3. There are 180 latitude lines.

Longitude:

  1. The line drawn horizontally parallel to the equator on the globe is latitude.
  2. All the horizontally parallel lines are not in equal size.
  3. There are 180 latitude lines.

Question 37.
How many realms of earth are there? Name them.
Answer:
There are three realms of earth. The three realms of the earth are:

  1. Land
  2. Water
  3. Air.

Question 38.
What is the percentage of water on earth?
Answer:
71%.

Question 39.
What is lithosphere?
Answer:
The realm of the earth consisting of rocks, stones and soil is called lithosphere.

Question 40.
What is hydrosphere?
Answer:
Hydrosphere is the realm of water on the earth.

MP Board Solutions

Question 41.
Which gas is found the most in the atmosphere?
Answer:
Nitrogen.

Question 42.
What is the difference between a mountain and a plateau?
Answer:
Mount Everest.

Mountain:

  1. Mountain are highly elevated lands with steep slopes. by the rivers.
  2. They are higher than the surrounding areas.

Plateau:

  1. Plateaus are moderately elevated lands with flat tops.
  2. They rise abruptly from the surrounding areas.

Question 43.
What is an island?
Answer:
The small parts of land surrounded by water are called islands.

MP Board Solutions

Answer the following Questions:

Question 1.
What do you understand by History? What are the different sources of knowing History?
Answer:
The different ways of knowing History are through:

  1. Oral information
  2. Written information
  3. Evidences.

1. Oral information:
The old proverbs, stories and ancedotes come under oral in formations.

2. Written information:
These are the writings which can be read.

3. Evidences:
These are the things which were used by the people at that time.

Question 2.
How did the primitive man start agriculture and animal husbandry? Explain in detail.
Answer:
In India cultivation started 5,000 to 6,000 years ago, growing plants and grain was an important discovery. Now, man had learnt that by putting seeds into the soil and watering the soil, plants would grow. This was the beginning of agriculture. He could grow his own food. So, he started living at one place and settled him as an agriculturist. Along with cultivation man also learnt animal husbandary. He began rearing a number of useful animals. He used them for different tasks:

  1. Use of dogs in hunting.
  2. Use of bullocks in farming.
  3. Cows, goats and buffaloes for milk.
  4. Sheep, bulls and goats for meat.
  5. Horses for riding.

MP Board Solutions

Question 3.
What is a society and what type of evils can be controlled by the society?
Answer:
A society is a network of social relations. In fact, a society is formed by the relationship among many families. Man is a social animal, so man lives in a family and society. Many problems come in the life of a man, like selection of a partner for marriage and bringing up children and educating them. The members of the family and their family friends help to resolve these problems. A society can control many social evils like child – marriage, large families not giving elementary education to children.

Question 4.
Explain the interdependence of villages and cities and give examples of things produced by the village and the things produced by the cities?
Answer:
The items like wheat, gram, kolikeheda, cotton, milk etc. are brought to village or town from villages. The items like diesel, petrol, kerosene, clothes, medicine, sugar, radio, T.V, bicycle, fruits are brought to village or town from towns.

Question 5.
What is the interdependence and how does it affect civic life?
Answer:
The citizen’s life is dependent on mutual help. In the family, school and neighbourhood, there is a need of mutual help. In your school you must have some rules which are essential for every teacher and student to follow. The work, we do as a rule, is called duty. The life of citizens depend on mutual help and performance of duty.

MP Board Solutions

Question 6.
What is the Solar System? Why is the earth called a unique planet?
Answer:
The Sun and the nine planets which revolve around it make up the family of the Sun or the Solar System. In addition to the nine planets, there are 44 satellites in the Solar System.

MP Board Class 6th Social Science Solutions Miscellaneous Questions 1 - 2

The earth is a small member of the Solar System. It is the fifth in size of the nine major planets and the third in distance. But it occupies a very unique position in the Solar System, for the following reasons:

  1. Around the Earth is a gaseous envelope known as the atmosphere. It saves us from the extreme heat of the Sun.
  2. The Earth has land, water and air unlike the other planets which makes life possible. All this had made the Earth a sweet home for us.

MP Board Solutions

Question 7.
Explain the solar system with a diagram?
Answer:
The Sun and the nine planets which revolve around it make up the family of the Sun or the Solar System. In addition to the nine planets, there are 44 satellites in the Solar System.

MP Board Class 6th Social Science Solutions Miscellaneous Questions 1 - 2

Question 8.
What is a globe? What information can we get from a globe?
Answer:
Globe is a three dimensional model of earth or sphere, which gives us the correct idea of the shape of the earth.

The following information we can get from a globe:

  1. The earth is a bit flat at the poles.
  2. The shape of earth is spheroid.
  3. The earth is not straight on its axis but a little tilted.
  4. The globe shows the location of oceans, islands, continents, main mountains and countries, etc.
  5. The characteristics of the horizontal and vertical lines drawn on the globe.

Question 9.
What should one know to read a map?
Answer:

  1. A map can be read and understand as a book is read and information is gathered from it.
  2. A map can be made and read on four basic points.

These are :

  1. Symbol
  2. Direction
  3. Headings
  4. Scale

1. Symbol:
It is the third important component of any map. When an area or locality is shown on a map, it is not possible to show various features, e.g., roads, building, trees, railway lines in their actual shape and size. To overcome this difficulty, the features are shown by different symbols.

The use of symbols saves space and a lot of information can be given in a single map. Various colours in maps are chosen for the same purpose. All over the world there has been some kind of agreement regarding the use of symbols and colours. The symbols used all over the world in various maps are called conventional symbols.

2. Direction:
It is another very important component of any map. A map has four directions i.e., north, south, east and west. While knowing any one direction on map we fan find all the remaining directions.

3. Headings:
Heading is the one of the component of read a map. “Structure” to their code that identifies main headings and subheadings. Headings Map creates a visual heading structure of the webpage by generating an index or ‘map’ of the headings created by the author.

4. Scale:
When human being did not have the knowledge of scripts, they expressed themselves through pictures and figures drawn on rocks. These pictures are called rock paintings. The rock paintings at Bhimbetka near Bhopal is a living example of ancient rock painting. The most of the rock paintings in India have been found in the Vindhyachal and Satpura ranges in Madhya Pradesh.

MP Board Solutions

Question 10.
What are latitudes and longitudes? Why they have been drawn on the globe?
Answer:
To locate the exact position of places on earth, latitudes and longitudes lines are drawn on a globe or a map. We can easily locate the geographical position of any village, city, town, country, or any place with the help of these lines.

The spherical and horizontal lines drawn parallel to the equator are called latitudes. There are 90 latitudes in the northern hemisphere and 90 latitudes in the southern hemisphere. In all there are 180 latitudes drawn on the globe. The equator is the largest latitude drawn on the globe. The equator is also known as the 0° latitude.

The 23\(\frac { 1 }{ 2 }\)° W latitude north, in the northern hemisphere is called the tropic of cancer. Similarly the 23\(\frac { 1 }{ 2 }\) ° latitude south, in the southern hemisphere is called the tropic of capricorn. The Arctic Circle lies at the distances of 66\(\frac { 1 }{ 2 }\)° N of the equator. The Antarctic Circle 66\(\frac { 1 }{ 2 }\)° S is similar to the Arctic Circle but lies in the southern hemisphere.

The vertical lines drawn from north to south are called longitudes. The longitude passes through Greenwich Observatory near London in England is called 0° longitude, Prime Meridian. The other longitudes are drawn east and west of the Prime Meridian. The Prime Meridian divides the world into Eastern (E) and Western (W) hemisphere.

MP Board Solutions

Question 11.
How many realms are there on the earth? Write their names and describe the different forms of the lithosphere?
Answer:
There are three realms of earth. The three realms of the earth are:

  1. Land
  2. Water
  3. Air.

The realm of the earth consisting of rocks, stones and soil is called lithosphere.

Fill in the blanks:

  1. The picture drawn on rocks are called ……………….
  2. The words engraved on stone are called …………….
  3. Our civic life depends on and …………….
  4. The planets and the satellites are illuminated by …………………..
  5. The only satellite of our earth is ………………..
  6. The small and temporary planets made by humans are called ……………….
  7. The large area of water stretched on earth is called ……………
  8. The shape of the earth is ………………
  9.  …………… colour is seen the most on a globe.
  10. The uppermost point on the globe is called …………… pole and the Southern most point is called the ……………….
  11. Longitude are ………………. lines.
  12. The world is ……………….. on its axis.
  13. Land is on …………… percent part of the earth.
  14. The piece of land surrounded by water on all sides is called ………………..
  15. The gas over the earth is called …………………

Answer:

  1. rock paintings
  2. inscriptions
  3. mutual help, performance of duty
  4. sun
  5. moon
  6. artificial setellites
  7. oceans
  8. bit flattened at the poles
  9. Blue
  10. north, south
  11. vertical
  12. rotate
  13.  29
  14. island
  15. air

MP Board Solutions

Choose the correct alternative:

Question (a)
What among the following is a source of knowing History?
(i) water
(ii) tree
(iii) earthen utensils
(iv) pen
Answer:
(iii) earthen utensils

Question (b)
How did the primitive man get their food?
(i) By agriculture
(ii) by collecting tubers and fruits
(iii) from the sea
(iv) none of these
Answer:
(ii) by collecting tubers and fruits

Question (c)
What among these is a not the characteristic of the society?
(i) Food habits
(ii) blood relation
(iii) life style
(iv) customs
Answer:
(iv) customs

Question (d)
What among the following is not our basic need?
(i) Food
(ii) clothes
(iii) electricity
(iv) shelter
Answer:
(iii) electricity

MP Board Solutions

Question (e)
Which among the following is a star?
(i) the Sun
(ii) the Moon
(iii) the Earth
(iv) the Mars
Answer:
(i) the Sun

Question (f)
The infinite space in which all the galaxies and energy are stretched is called:
(i) the Solar System
(ii) The Sun
(iii) the universe
(iv) Akashganga
Answer:
(iii) the universe

Question (g)
Which among the following is called a living planet?
(i) the moon
(ii) the earth
(iii) the Mercury
(iv) the Mars
Answer:
(ii) the earth

Question (h)
Which among the following is called the red planet?
(i) the Earth
(ii) the Mars
(iii) the Jupiter
(iv) the Mercury
Answer:
(ii) the Mars

Question (i)
Which among the following is the life saving gas?
(i) Oxygen
(ii) Nitrogen
(iii) Helium
(iv) Ozone
Answer:
(i) Oxygen

MP Board Solutions

Question (j)
The night when the total moon is seen is called?
(i) Dark day
(ii) New moon
(iii) Full moon
(iv) the eleventh day
Answer:
(iii) Full moon

Question (k)
The nearest celestial body to earth is?
(i) the Sun
(ii) the Mercury
(iii) the Moon
(iv) the Venus
Answer:
(ii) the Mercury

Question (l)
The model of the earth is called?
(i) map
(ii) measurer
(iii) globe
(iv) moon.
Answer:
(iii) globe

Question (m)
The number of continents on earth are?
(i) 4
(ii) 5
(iii) 6
(iv) 7
Answer:
(iv) 7

Question (n)
The latitudes are:
(i) semi circles
(ii) of equal length
(iii) spherical
(iv) vertical lines.
Answer:
(iii) spherical

MP Board Solutions

Pick the odd one out:

Question (a)
(i) Palaeolithic
(ii) black stone age
(iii) Mesolithic
(iv) Neolithic
Answer:
(i) Palaeolithic

Question (b)
(i) cow
(ii) buffalo
(iii) tiger
(iv) goat
Answer:
(iii) tiger

Question (c)
(i) rock-painting
(ii) documentary
(iii) cave painting
(iv) mural
Answer:
(ii) documentary

Question (d)
(i) family
(ii) community
(iii) marriage
(iv) society
Answer:
(iii) marriage

Question (e)
(i) petrol
(ii) clothes
(iii) diesel
(iv) kerosene.
Answer:
(ii) clothes

MP Board Solutions

Question (f)
(i) crops
(ii) foodgrains
(iii) food
(iv) produce
Answer:
(iv) produce

Question (g)
(i) the Mercury
(ii) the Venus
(iii) the Mars
(iv) the Moon
Answer:
(iv) the Moon

Question (h)
(i) Aryabhatta
(ii) Rohini
(iii) Moon
(iv) Bhaskar
Answer:
(iii) Moon

Question (i)
(i) Asia
(ii) Africa
(iii) Pacific
(iv) America
Answer:
(iii) Pacific

MP Board Solutions

Question (j)
(i) Tropic of Cancer
(ii) Equator
(iii) Lapic of Capricorn
(iv) Greenwich Meridian.
Answer:
(iv) Greenwich Meridian.

Question (k)
(i) Lithosphere
(ii) Biosphere
(iii) Atmosphere
(iv) Solar family
Answer:
(iv) Solar family

Question (l)
(i) mountain
(ii) sea
(iii) plateau
(iv) plains
Answer:
(ii) sea

Question (m)
(i) nitrogen
(ii) oxygen
(iii) vapours
(iv) carbondioxide.
Answer:
(iii) vapours

MP Board Solutions

Match the following:

  1. The mixture of gases – family
  2. The vertical lines – the earth
  3. The horizontal lines – Petrograph
  4. Spheroid – stone age
  5. The model of the earth – globe
  6. The largest planet – the Jupiter
  7. The interdependence as per need – interdependence
  8. The unit of the society – family
  9. The era of stone – stone age
  10. The information engraved On stone – Interdependence

Answer:

  1. The mixture of gases – atmosphere
  2. The vertical lines – longitudes
  3. The horizontal lines – latitudes
  4. spheroid – the earth
  5. The model of the earth – globe
  6. The largest planet – the Jupiter
  7. The interdependence as per need interdependence
  8. The unit of the society – family
  9. The era of stone – stone age
  10. The information engraved On stone – Petrograph

MP Board Solutions

Project work:

Question 1.
Move around your village/school and talk to people to gather history of your village?
Answer:
Do with the help of your teacher.

Question 2.
Collect information about the postal, telegraph/rail department and find our dependence on these departments?
Answer:
Do with the help of your teacher.

Question 3.
Make a big labelled diagram of the solar system?
Answer:
The Sun and the nine planets which revolve around it make up the family of the Sun or the Solar System. In addition to the nine planets, there are 44 satellites in the Solar System.

MP Board Class 6th Social Science Solutions Miscellaneous Questions 1 - 2

Show the following on the world map.

  1. The Equator
  2. Asia
  3. The Indian Ocean Meridian
  4. Greeenwich
  5. The Pacific Ocean
  6. The Himalaya
  7. The Plateau of Pamir
  8. The Decean Plateau
  9. The plains of Ganga – yamuna
  10. India.

Answer:
Do Yourself.

MP Board Class 6th Social Science Solutions

MP Board Class 6th Social Science Solutions Chapter 11 The Age of Janpadas and Mahajanpadas

MP Board Class 6th Social Science Solutions Chapter 11 The Age of Janpadas and Mahajanpadas

MP Board Class 6th Social Science Solutions Chapter 11 Text Book Exercise

Answer the following questions (very short answer type):

Question 1.
Question (a)
What are Janpadas?
Answer:
Aryans were organised into Tribe or Janas. The territory where the tribe or janas had settled was known as Janpad. In the beginning only the people of particular class lived in Janpad.

Question (b)
Give the names of two “Gana Sanghas”?
Answer:
The two Gana Sanghas were:

  1. The Vajji of Mithila
  2. The Shakya of Kapilavastu.

MP Board Solutions

Question (c)
Who established the Magadha empire?
Answer:
Bimbisar established the Magadha empire.

Question (d)
Give the names of four cities of Mahajanpada age?
Answer:
Rajgriha, Mathura, Kausambi and Kashi were the famous cities of Mahananpada period.

Question (e)
Who was Ajatshatru?
Answer:
Ajatshatru was the son of Bimbisar.

Answer the following in (short answer type):

Question 2.
Question (a)
What are Mahajanpadas?
Answer:
The big and powerful Janpada are called Mahajanpada. Most of the Mahajanpadas were to the north of the Vindhyas and spread from the western border area to Bihar.

MP Board Solutions

Question (b)
What are marked Coins?
Answer:
In this period, regular use of coins (i.e., money) is seen. Coins were usually made of silver and copper. Trade also became easier. These early coins are known as marked coins.

Question (c)
What are Ganasangha and Janpada?
Answer:
At this time there were such states where there were no dynasties like Janpadas and Mahajanpadas, these states were called Ganasangha. The people of the state elected the kings just as we elect our government, The different tracts of the land which were cleared of forects and where people had settled by about 600 BC were called Janpada.

Question (d)
Who was Bimbisar? How did he expand his empire?
Answer:
Bimbisar was the king of Magadha. He ruled Magadha in about 542 B.C. He helped to make it into a powerful kindgom by various methods. Two features of his kingdom are:

  1. He maintained friendly relations with other kingdoms.
  2. He made good use of large iron deposits by making weapons and implements.

MP Board Solutions

Question (e)
Write three main reasons of expansion of Magadha empire?
Answer:
The three main reasons of expansion of Magadha empire were:

  1. The land was fertile enough to produce crops.
  2. The area of Magadha had ample amount of iron, which was used to make weapons and equipments.
  3. Trade through boats was done in the Ganga river, so the merchants could go abroad through the ports.

Answer the following questions (long answer type):

Question 3.
Question (a)
Write about the life and teachings of Gautam Buddha?
Answer:
Mahatma Buddha was born as prince Siddhartha in Lumbini near Kapilavastu. He taught that world is full of suffering and this is due to desire for wordly things. Mahatma Buddha taught that the world is full of suffering and this is due to desire for worldly things. According to Mahatma Buddha a man should free himself from desire by following eight fold path. Man should follow these five morals:

  1. Do not kill any creature.
  2. Do not steal.
  3. Do not tell a lie.
  4. Do not take toxic drugs.
  5. Do not be a lecher.

Question (b)
Write about the life and teachings of Mahavir Swami?
Answer:
Jainism was founded by Mahavir Swami in the 6th century BC. Mahavir Swami supported the teachings of twenty – three earlier teachers called, Tirthankaras and added his own thoughts to theirs.

Mahavir Swami emphasised on good deeds. He said it was better to lead a good life and not to do wrong. He told his followers that their deeds should be based on three jewels called Right Faith, Right Knowledge and Right Action. These three jewels would lead to a virtuous life. People were forbidden to kill any living being, whether man or animal or insect.

Mahavir swami believed that if a man led a good life his soul would be made free and he would not be born again in the world.

MP Board Solutions

Question (c)
Give details about the administrations style of Mahajanpadas?
Answer:
Most of the Mahajanpadas were to the north of the Vindhyas and spread from the western border area to Bihar. There were dynasties in Janpadas and Mahajanpadas but in Gana Sanghas, the kings were elected by the people. Though the various Janpadas and Mahajanpadas has a marital relationship among are another yet they aways fought with one another. Out of the 16 Mahajanpadas, 4 Mahajanpadas became powerful.

Question 4.
Fill in the blanks:

  1. During Nanda Dynasty …………… invaded India.
  2. Sishunaag was the ruler of ……………
  3. Mahavir Swami was born on ……………..

Answer:

  1. Alexander
  2. Kashi
  3. 6th century BC.

Question 5.
Fill in the blanks from the words given in the bracket:

  1. Bimbisar belonged to the …………………… Dynasty (Hiranyak/Maurya)
  2. Chand Pradyot was the ruler of ……………… Mahajanpada (Avanti/Anga)
  3. Buddha was born at ………………… (Lumbini/Vajji).

Answer:

  1. Maurya
  2. Avanti
  3. Lumbini

MP Board Solutions

Question 6.
Find the odd one out:

  1. Pur, Nagar, Mahanagar, Basti
  2. to take toxic drugs, do not be a lecher, do not tell he, do not steal.
  3. carpenter, blacksmith, goldsmith, brahman.

Answer:

  1. Basti
  2. to take toxic drugs
  3. Brahmin.

MP Board Class 6th Social Science Solutions

MP Board Class 7th Sanskrit Solutions Chapter 16 प्राचीन-भारतीय-वैज्ञानिकाः

MP Board Class 7th Sanskrit Solutions Surbhi Chapter 16 प्राचीन-भारतीय-वैज्ञानिकाः

MP Board Class 7th Sanskrit Chapter 16 अभ्यासः

प्रश्न 1.
एक शब्द में उत्तर लिखो
(क) वृक्षायुर्वेदग्रन्थस्य रचयिता कः? [वृक्षायुर्वेद ग्रन्थ के रचयिता कौन हैं?]
उत्तर:
महर्षिः पराशरः

(ख)”शुल्बसूत्रं” कः रचितवान्? [‘शुल्बसूत्र’ की रचना किसने की?]
उत्तर:
बोधायनः

(ग) प्रकाशस्य गतिं कः ज्ञातवान्? [प्रकाश की गति का किसने पता किया?]
उत्तर:
आर्यभट्टः

(घ) शल्यक्रियायाः जनकः कः? [शल्यक्रिया (सर्जरी) का जनक कौन है?]
उत्तर:
आचार्यः सुश्रुतः

MP Board Solutions

(ङ) गुरुत्वाकर्षणसिद्धान्तं कः प्रतिपादितवान्? [गुरुत्वाकर्षण के सिद्धान्त को किसने प्रतिपादित किया?]
उत्तर:
भास्कराचार्यः।

प्रश्न 2.
अधोलिखित प्रश्नों के उत्तर एक वाक्य में लिखो
(क) महर्षिः पराशरः वनस्पतीनां किं कृतवान्? [महर्षि पराशर ने वनस्पतियों का क्या किया?]
उत्तर:
महर्षिः पराशरः वनस्पतीनां वर्गीकरणं कृतवान् [महर्षि पराशर ने वनस्पतियों का वर्गीकरण किया।]

(ख) विद्युत्कोशस्य आविष्कारकः कः आसीत्? [विद्युत्कोश का आविष्कारक कौन था?]
उत्तर:
विद्युत्कोशस्य आविष्कारकः महर्षिः अगस्त्यः आसीत्। [विद्युतकोश के आविष्कारक महर्षि अगस्त्य थे।]

(ग) “पृथ्वी सूर्यस्य परिक्रमा करोति” इति सिद्धान्तं कः प्रतिपादितवान्? [“पृथ्वी सूर्य की परिक्रमा करती है”, इस सिद्धान्त को किसने प्रतिपादित किया?]
उत्तर:
“पृथ्वी सूर्यस्य परिक्रमा करोति”, इति सिद्धान्तं आर्यभट्टः प्रतिपादितवान्। [“पृथ्वी सूर्य की परिक्रमा करती है”, इस सिद्धान्त को आर्यभट्ट ने प्रतिपादित किया।]

(घ) भास्कराचार्यः किं प्रतिपादितवान्? [भास्कराचार्य ने क्या प्रतिपादित किया?]
उत्तर:
भास्कराचार्यः गुरुत्वाकर्षण सिद्धान्तं, π (पै) इति गणित चिह्नस्य मानं त्रैराशिक-नियमादीन् प्रतिपादितवान्। [भास्कराचार्य ने गुरुत्वाकर्षण सिद्धान्त, π (पाई) नामक गणित चिह्न का मान, त्रैराशिक नियमों आदि का प्रतिपादन किया।]

(ङ) “त्वचारोपणम्” आदौ कः कृतवान्? [त्वचारोपण प्रारम्भ में किसने किया?]
उत्तर:
त्वचारोपणम् आदौ आचार्यः सुश्रुतः कृतवान्। [त्वचारोपण प्रारम्भ में आचार्य सुश्रुत ने किया।]

प्रश्न 3.
रेखांकित शब्द के आधार पर प्रश्न का निर्माण करो
(क) परमाणुवादस्य जनकः महर्षिः कणादः अस्ति।
(ख) विमानविद्यायाः वर्णनं भरद्वाजः अकरोत्।
(ग) भारतीकृष्णतीर्थः वैदिकगणितं रचितवान्।
(घ) रेखागणितस्य प्रमेयं शुल्बसूत्रे अस्ति।
(ङ) महर्षिः पाणिनि: अष्टाध्यायीं रचितवान्।
उत्तर:
(क) कस्य जनकः महर्षिः कणादः अस्ति?
(ख) विमानविद्यायाः वर्णनं कः अकरोत्?
(ग) भारतीय कृष्णतीर्थः किम् रचितवान्?
(घ) रेखागणितस्य प्रमेयं कस्मिन् अस्ति?
(ङ) महर्षिः पाणिनिः किम् ग्रन्थम् रचितवान्?

MP Board Solutions

प्रश्न 4.
उचित शब्द से रिक्त स्थान को पूरा करो
(क) सः आपणम् ………. (गतवान्/गतवन्तः)
(ख) बालकाः पाठं ……….। (पठितवान्/पठितवन्तः)
(ग) ……….. पत्रं लिखितवान्। (अध्यापकः/अध्यापकाः)
(घ) ……….. मातृभूमिम् रक्षितवन्तः। (सैनिकः/सैनिकाः)
(ङ) गायकः गीतम् ……….। (गीतवान्/गीतवन्तः)
उत्तर:
(क) गतवान्
(ख) पठितवन्तः
(ग) अध्यापकः
(घ) सैनिकाः
(ङ) गीतवान्।

प्रश्न 5.
कोष्ठक से उचित शब्द चुनकर रिक्त स्थान को पूरा करो-
(विद्युत-कोशः, सूर्यस्य, प्रकाश निस्सारण, शल्यक्रियाम्)
(क) आर्यभट्टस्य मतेन पृथ्वी …………. परिक्रमा करोति।
(ख) सुश्रुतः शरीरस्य ………… करोति स्म।
(ग) वृक्षाः ………… क्रिया द्वारा भोजनं कुर्वन्ति।
(घ) ताम्र-जतु-पारदादीनां संयोगेन …………. उत्पन्नाः भवति।
उत्तर:
(क) सूर्यस्य
(ख) शल्यक्रियाम्
(ग) प्रकाश निस्सारण
(घ) विद्युत-कोशः।

प्रश्न 6.
समुचित अक्षर से रिक्त स्थान की पूर्ति करो-
MP Board Class 7th Sanskrit Solutions Chapter 16 प्राचीन-भारतीय-वैज्ञानिकाः img 1
उत्तर:
(क) क्षा, द।
(ख) ह, हि।
(ग) आ, भ।
(घ) धा, न।
(ङ) ब्र, प्त।

प्रश्न 7.
समुचित मिलान करो
MP Board Class 7th Sanskrit Solutions Chapter 16 प्राचीन-भारतीय-वैज्ञानिकाः img 2
उत्तर:
(क) → (4)
(ख) → (3)
(ग) → (5)
(घ) → (1)
(ङ) → (2)

MP Board Solutions

प्राचीन-भारतीय-वैज्ञानिकाः हिन्दी अनुवाद

(एकस्मिन् विद्यालये आचार्य-छात्राणां मध्ये वैज्ञानिकानां विषये वार्तालापः प्रचलति)

आचार्यः :
छात्राः! किं यूयं जानीथ, यत् रेखागणितस्य नवविंशतितमं (२९) प्रमेयं किम्?

छात्रा: :
आम्! जानीमः, “पाइथागोरसप्रमेयम्” इति।

आचार्यः :
एतस्य नामकरणस्य कारणं किम्?

प्रशान्तः :
अस्य प्रमेयस्य आविष्कर्ता “पाइथागोरस” नामक वैज्ञानिकः आसीत्। अतः तस्य नाम्ना एतस्य नामकरणम् अभवत्।

आचार्यः :
सम्प्रति एषः एव प्रचारः परन्तु पाइथागोरसतः १५०० वर्षपूर्व आचार्य: बोधायन:शुल्बसूत्रे एतस्य प्रमेयस्य प्रयोगं कृतवान्। भारतीयाः अङ्का अपि ततः पूर्वम् आसन्।

नीलेश: :
महोदय! प्राचीनकाले भारतदेशे वैज्ञानिकाः आसन् किम्?

आचार्य: :
भारतदेशः वैदिककालात् एव वैज्ञानिकानां देशः अस्ति। चिकित्सा-अभियान्त्रिकी-गणित-विज्ञानादिषु क्षेत्रेषु भारतीय-वैज्ञानिकाः बहुकार्यं कृतवन्तः।।

अनुवाद :
(एक विद्यालय में आचार्य-छात्रों के बीच में वैज्ञानिकों के विषय में वार्तालाप चलता है।)

आचार्य :
हे छात्रो! क्या तुम सब जानते हो कि रेखागणित के उन्तीस प्रमेय क्या हैं?

छात्र :
हाँ! जानते हैं। ‘पाइथागोरस की प्रमेय’।

आचार्य :
इसके नामकरण का कारण क्या है?

MP Board Solutions

प्रशान्त :
इस प्रमेय का आविष्कार करने वाले “पाइथागोरस” नामक एक वैज्ञानिक थे। इसलिए उसके नाम से इसका नामकरण हो गया।

आचार्य :
अब तो यही प्रचारित है। परन्तु पाइथागोरस से १५०० वर्ष पूर्व (पन्द्रह सौ वर्ष पूर्व) आचार्य बोधायन ने शुल्ब सूत्र में इस प्रमेय का प्रयोग किया था। भारतीय अंक भी उससे पहले थे।

नीलेश :
महोदय! प्राचीन काल में भारत देश में क्या वैज्ञानिक थे?

आचार्य :
भारतदेश वैदिक काल से ही वैज्ञानिकों का देश है। चिकित्सा, अभियान्त्रिकी, गणित, विज्ञान आदि के क्षेत्रों में भारतीय वैज्ञानिकों ने बहुत-सा कार्य किया हुआ है।

सौम्या :
महोदय! वनस्पतिविज्ञान-विषये किं कार्यं भारते अभवत्?

आचार्यः :
महर्षिः पराशरः “वृक्षायुर्वेद” ग्रन्थे वनस्पतीनां वर्गीकरणं कृतवान्। वृक्षेषु प्रकाश-निस्सारण-क्रियायाः (प्रकाशसंश्लेषणम्) पर्णस्य अवान्तर-भागानाम् (प्लाज्माइत्यादीनाम्) अपि वर्णनं पराशरः कृतवान्।

अर्जुन: :
प्राचीनकाले विद्युत्कोशः (बैट्री) अपि आसीत् किम्?

आचार्य: :
अवश्यमेव आसीत्। ताम्रपत्र-जतुपत्रकृष्णाङ्गारचूर्ण-पारद-इत्यादीनां संयोगेन विद्युत् उत्पन्ना भवति इति महर्षिः अगस्त्यः लिखितवान्।

अनुवाद :
सौम्या-महोदय! वनस्पति विज्ञान के विषय में भारत में क्या कार्य हुआ था?

आचार्य :
महर्षि पराशर ने ‘वृक्षायुर्वेद’ नामक ग्रन्थ में वनस्पतियों का वर्गीकरण किया था। वृक्षों में प्रकाश के निकलने की क्रिया का (प्रकाश-संश्लेषण) पत्ते के अवान्तर भागों का (प्लाज्मा आदि का) भी वर्णन पराशर ने किया था।

अर्जुन :
प्राचीनकाल में विद्युत्कोश (बैट्री) भी थी क्या?

MP Board Solutions

आचार्य :
अवश्य ही थी। ताम्रपत्र, जतुपत्र, कृष्णाङ्गारचूर्ण, पारद आदि के संयोग से विद्युत उत्पन्न होती है। महर्षि अगस्त्य ने लिखा था।

केशवः :
महोदय! वदतु कृपया, अस्माकं भारते गणितविषये अन्यत् किं प्रमुखं कार्यम् अभवत्?

आचार्यः :
प्राचीनः भारतीयः महान गणितज्ञः आर्यभट्टः प्रकाशस्य गतिं सम्यक् जानाति स्म। पृथ्वी गोलाकारा अस्ति। पृथ्वी स्व अक्षे भ्रमति, तेन एवं दिवारात्री भवतः। पृथ्वी सूर्यस्य परिक्रमा करोति, तेन एव षड् ऋतवः भवन्ति सप्ताहे दिनानां क्रमः, प्रकाशस्य गतिः, कालगणना, खगोलविज्ञानं त्रिकोणमितिः इत्यादिषु क्षेत्रेषु आचार्यः आर्यभट्टः बहुकार्य कृतवान्।

अनुवाद :
केशव-महोदय! कृपा करके बताइए, हमारे भारतवर्ष में गणित विषय में अन्य कौन-सा प्रमुख कार्य हुआ।

आचार्य :
प्राचीन भारतीय महान गणितज्ञ आर्यभट्ट प्रकाश की गति को ठीक तरह से जानते थे। पृथ्वी गोल आकार की है। पृथ्वी अपने अक्ष पर (कीली पर) घूमती है। उसी के कारण से दिन और रात होते हैं। पृथ्वी सूर्य की परिक्रमा करती है, उसी के कारण से छः ऋतुएँ होती हैं। सप्ताह में दिनों का क्रम, प्रकाश की गति, कालगणना, खगोलविज्ञान, त्रिकोणमिति इत्यादि के क्षेत्र में आचार्य आर्यभट्ट ने बहुत-सा कार्य किया था।

आदित्यः :
आचार्य! भास्करः अपि गणित-विषये कार्य कृतवान् किम्?

आचार्य: :
आम्! गुरुत्वाकर्षणसिद्धान्तं π (पै) इति गणितचिह्नस्य मानं त्रैराशिक-नियमादीन् भास्कराचार्यः प्रतिपादितवान्।

शालिनी :
महोदय! चिकित्साक्षेत्रे अस्माकं पूर्वजानां ज्ञानं कीदृशम् आसीत्?

आचार्यः :
शल्यचिकित्सायाः जनकः आचार्यः सुश्रुतः प्रायशः सर्वाः शल्यक्रियाः करोति स्म। यथा-त्वचारोपणम् (प्लास्टिक सर्जरी), नासिकारोपणम्, कर्णरोपणम्, तन्त्रिकाचिकित्सा नेत्रचिकित्सा इत्यादयः। शल्यक्रियायां यानि उपकरणानि सुश्रुतेन प्रयुक्तानि तानि एव उपकरणानि तथैव आधुनिक-चिकित्सा-क्षेत्रे प्रयुज्यन्ते।

अनुवाद :
आदित्य :
आचार्य! क्या भास्कर ने भी गणित के विषय में कार्य किया हुआ था?

आचार्य :
हाँ! गुरुत्वाकर्षण सिद्धान्त को π (पाई) नामक गणित के चिह्न का मान, त्रैराशिक नियम आदि को भास्कराचार्य ने प्रतिपादित किया।

शालिनी :
महोदय! चिकित्सा के क्षेत्र में हमारे पूर्वजों का ज्ञान कैसा था?

आचार्य :
शल्य चिकित्सा के जनक (जन्म देने वाले) आचार्य सुश्रुत प्रायः सभी प्रकार की शल्य क्रिया किया करते थे। जैसे-त्वचारोपण (प्लास्टिक सर्जरी), नासिकारोपण, कर्णरोपण, तन्त्रिका चिकित्सा, नेत्र चिकित्सा इत्यादि। शल्य क्रिया में जिन उपकरणों (औजारों) का प्रयोग सुश्रुत ने किया, उन्हीं उपकरणों को उसी तरह आधुनिक चिकित्सा के क्षेत्र में प्रयोग किया जाता है।

मोहित :
आचार्य! चरकः अपि भैषजरसायनं, ज्वालापरीक्षणं, वनस्पति-आधारितां च चिकित्सापद्धतिं निर्दिष्टवान्।

गरिमा :
महोदय! प्राचीन भारतीय वैज्ञानिकानां नामानि तेषाम् आविष्कारः च विस्तरेण कुत्र लभ्यन्ते?

MP Board Solutions

आचार्यः :
भारतस्य वैज्ञानिकपरम्परा सुदीर्घा अस्ति। तस्याः परिचयः संस्कृतस्य प्राचीनग्रन्थेषु प्राप्यते।

अनुवाद :
मोहित-आचार्य! चरक ने भी भैषज रसायन को, ज्वाला परीक्षण को और वनस्पति पर आधारित चिकित्सा पद्धति को निर्दिष्ट किया।

गरिमा :
महोदय! प्राचीन भारतीय वैज्ञानिकों के नाम तथा उनके आविष्कार विस्तार से कहाँ प्राप्त किये जा सकते हैं?

आचार्य :
भारतवर्ष की वैज्ञानिक परम्परा बहुत ही दीर्घ है। उसका परिचय संस्कृत के प्राचीन ग्रंथों में प्राप्त होता है।

प्राचीन-भारतीय-वैज्ञानिकाः शब्दार्थाः

सम्प्रति = आजकल। विसङ्गति = असमानता। इत्यस्य = (इति + अस्य) इसका। जतु/कुप्यातु = जस्ता। वर्गीकरणम् = गुणों के आधार पर स्थान निर्धारण। अवान्तर = आन्तरिक, भीतरी। पारदः = पारा। विद्युत्कोशः = सञ्चित विद्युत का भण्डार। कृष्णाङ्गारम् = कोयला। ताम्रम् = ताँबा। π (पै) = गणित में प्रयुक्त एक चिह्न। इसका मान \( \frac{22}{7}\) होता है। त्वचारोपणम् = त्वचाप्रत्यारोपण (प्लास्टिक सर्जरी)। नासिकारोपणम् = नासिकाप्रत्यारोपण (नाक को इच्छानुसार आकार देना)। कर्णरोपणम् = कान प्रत्यारोपण (कान को इच्छानुसार आकार देना)। तन्त्रिकाचिकित्सा = तन्त्रिका तन्त्र की चिकित्सा विधि। शल्यक्रिया = चीरफाड़ द्वारा चिकित्सा करना। उपकरणानि = उपकरण। भैषजरसायनम् = पेड़-पौधों के रस द्वारा औषधि निर्माण प्रक्रिया। सुदीर्घा = लम्बी। वैदिककालादेव = (वैदिककालात् + एव) वैदिक काल से ही। प्रयुज्यमानानि = प्रयोग में आने वाले। प्रयुज्यन्ते = प्रयुक्त होते हैं। प्रकाशनिस्सारणक्रिया = प्रकाश संश्लेषण, सूर्य के प्रकाश में पौधों द्वारा भोजन संग्रहण करने की क्रिया।

MP Board Class 7th Sanskrit Solutions

MP Board Class 6th Maths Solutions Chapter 4 आधारभूत ज्यामितीय अवधारणाएँ Ex 4.6

MP Board Class 6th Maths Solutions Chapter 4 आधारभूत ज्यामितीय अवधारणाएँ Ex 4.6

पाठ्य-पुस्तक पृष्ठ संख्या # 91

प्रश्न 1.
संलग्न आकृति देखकर लिखिए :
(a) वृत्त का केन्द्र
(b) तीन त्रिज्याएँ
(c) एक व्यास
(d) एक जीवा
(e) अभ्यन्तर में दो बिन्दु
(f) बहिर्भाग में एक बिन्दु
(g) एक त्रिज्यखण्ड
(h) एक वृत्तखण्ड
MP Board Class 6th Maths Solutions Chapter 4 आधारभूत ज्यामितीय अवधारणाएँ Ex 4.6 image 1
हल :
(a) वृत्त का केन्द्र- O
(b) तीन त्रिज्याएँ- \(\overline{O A}, \overline{O B}\) और \(\overline{O C}\)
(c) एक व्यास- \(\overline{A C}\)
(d) एक जीवा- \(\overline{E D}\)
(e) अभ्यन्तर में दो बिन्दु- O और P
(f) बहिर्भाग में एक बिन्दु- Q
(g) एक त्रिज्यखण्ड- OAB (छायांकित भाग)
(h) एक वृत्तखण्ड-रेखाखण्ड ED (छायांकित भाग)

प्रश्न 2.
(a) क्या वृत्त का प्रत्येक व्यास उसकी एक जीवा भी होता है ?
(b) क्या वृत्त की प्रत्येक जीवा उसका एक व्यास भी होती है ?
हल :
(a) हाँ, वृत्त का प्रत्येक व्यास उसकी सबसे बड़ी जीवा होती है। .
(b) नहीं, वृत्त की प्रत्येक जीवा हमेशा उसका व्यास नहीं होती है।

MP Board Solutions

प्रश्न 3.
कोई वृत्त खींचिए और निम्न को अंकित कीजिए:
(a) उसका केन्द्र
(b) एक त्रिज्या
(c) एक व्यास
(d) एक त्रिज्यखण्ड
(e) एक वृत्तखण्ड
(f) उसके अभ्यन्तर में एक बिन्दु
(g) उसके बहिर्भाग में एक बिन्दु
(h) एक चाप
हल :
(a) वृत्त का केन्द्र- O,
(b) त्रिज्या- \(\overline{O C}\)
(c) व्यास- \(\overline{A B}\),
(d) त्रिज्यखण्ड- OAD
MP Board Class 6th Maths Solutions Chapter 4 आधारभूत ज्यामितीय अवधारणाएँ Ex 4.6 image 2
(e) वृत्तखण्ड- JKL,
(f) अभ्यन्तर में एक बिन्दु- P
(g) बहिर्भाग में एक बिन्दु- Q,
(h) एक चाप- MN

प्रश्न 4.
सत्य या असत्य बताइए :
(a) वृत्त के दो व्यास अवश्य ही प्रतिच्छेद करेंगे।
(b) वृत्त का केन्द्र सदैव उसके अभ्यन्तर में स्थित होता है।
हल :
(a) सत्य,
(b) सत्य।

MP Board Class 6th Maths Solutions

MP Board Class 7th Social Science Solutions Chapter 31 Europe: Economic Features

MP Board Class 7th Social Science Solutions Chapter 31 Europe: Economic Features

MP Board Class 7th Social Science Chapter 31 Text Book Questions

Match column ‘A’ with column ‘B’:
MP Board Class 7th Social Science Solutions Chapter 31 Europe Economic Features-1
Answer:
1. (d) Wheat
2. (a) Grapes
3. (b) Watches
4. (e) Load and unloading
5. (c) Sparse population

Fill in the blanks:

  1. More than ………….. per – cent of the population of Europe depend on agriculture for their livelihood.
  2. ………….. is known as the “Bread Bowl” of the world.
  3. …………… is made from sugar beat.
  4. …………… is the capital of France.
  5. ……………. of the population of Europe is literate.

Answer:

  1. 15%
  2. Ukraine
  3. Sugar
  4. Paris
  5. 90%

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MP Board Class 7th Social Science Chapter 31 Short Answer Type Questions

Question 1.
What is meant by mixed farming?
Answer:
Combination of cultivation of crops and rearing of animals in the same system is called mixed farming.

Question 2.
Which types of crops are cultivated in the Mediatarranean region?
Answer:
The cultivation of juicy fruits is done in the Meditarranean region.

Question 3.
Write the name of any four coal producing countries of the world.
Answer:
Germany, Poland, Russia and Ukraine.

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Question 4.
Which countries of Europe produce wind energy?
Answer:
Holland, Belgium and Denmark are the countries of Europe which produce wind energy.

MP Board Class 7th Social Science Chapter 31 Long Answer Type Questions

Question 1.
Describe the industrial development of European countries.
Answer:
Europe is the center of modern industries. The most important industry of Europe is iron and steel industry. This industry developed coal and iron are found there in plenty. The countries which lead in this industry are Russia, Germany, Italy, France, Poland, Britain, Romania, Spain, Belgium and Czech Republic.

Besides heavy industries like railway engines and coaches, Motor – cars, Ships, Aircraft, Engineering goods, etc, other goods like electric goods, chemicals, Oil Refineries, Cement etc. are also manufactured. Switzerland, Denmark, Belgium, Austria etc.

are famous for watches, electric goods, medicines, and cosmetic products. Not only mineral based industries are flourishing but agriculture based industries can also be found in abundance in the European countries.

For example we can mention flour industry, biscuits and bread industry, sugar industry, woolen and silk industry, butter, cheese, milk powder from milk etc. The woods of Taiga region are used to manufacture paper and paper pulp and artificial fibers. In this way Europe has made great progress in die field of industries.

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Question 2.
How have the mineral resources helped in the development of industries?
Answer:
Europe is famous for its mineral wealth. Due to the availability of minerals in huge quantity the countries of Europe have made great progress in the field of industries. The important minerals found in Europe are coal, iron, oil and natural gas. Needless to say that these are very essential for economic development. Germany, Poland, Russia, Ukraine, Czech Republic are famous for coal production.

Iron is found in Russia, Sweden, France, Britain, Spain and Czech Republic. Petroleum is found in Russia, Poland, UK and Romania. Besides these manganese, sulpher, mica, tin, gold, copper, potash and limestone are also extracted. Wind energy is produced in Holland, Belgium and Denmark.

Map works – mark the following in the map of Europe:

  1. Fruit cultivating area
  2. Three countries famous for milk production
  3. Paris, London, Rome, Berlin and Madrid cities.

Answer:
MP Board Class 7th Social Science Solutions Chapter 31 Europe Economic Features-3

MP Board Class 7th Social Science Solutions

MP Board Class 7th Sanskrit Solutions Chapter 15 मत्स्यत्रयकथा

MP Board Class 7th Sanskrit Solutions Surbhi Chapter 15 मत्स्यत्रयकथा

MP Board Class 7th Sanskrit Chapter 15 अभ्यासः

प्रश्न 1.
एक शब्द में उत्तर लिखो
(क) मत्स्याः कुत्र अवसन्? [मछलियाँ कहाँ रहती थीं?]
उत्तर:
जलाशये

(ख) धीवराः कदा जलाशयम् अगच्छन्? [धीवर कब जलाशय पर चले गये?]
उत्तर:
कदाचित्

(ग) प्रत्युत्पन्नमतिः कः इव अतिष्ठत्? [प्रत्युत्पन्नमति किसकी तरह हो गयी?]
उत्तर:
मृतः इव

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(घ) तृतीयः मत्स्यः कुत्र पतितः? [तीसरी मछली कहाँ गिर पड़ी?]
उत्तर:
जाले

(ङ) अनागतविधाता कुत्र अगच्छत्? [अनागत विधाता कहाँ चली गई?]
उत्तर:
अन्यज्जलाशयम्।

प्रश्न 2.
एक वाक्य में उत्तर लिखो
(क) मत्स्यानां नामानि कानि? [मछलियों के नाम कौन-कौन से हैं?]
उत्तर:
मत्स्यानां नामानि-अनागतविधाता, प्रत्युत्पन्नमतिस्तथा, यद्भविष्यत्। [मछलियों के नाम-अनागतविधाता, प्रत्युत्पन्नमति और यद्भविष्यत् था।]

(ख) प्रत्युत्पन्नमतिः किमुक्त्वा निश्चिन्तः अभवत्? [प्रत्युत्पन्नमति क्या कहकर निश्चित हो गयी?]
उत्तर:
प्रत्युत्पन्नमतिः नाम मत्स्यः “समयानुगुणं कार्यं करोमि” इति उक्त्वा निश्चिन्तः अभवत्। [प्रत्युत्पन्नमति नामक मछली “समय के अनुसार कार्य करती हूँ” ऐसा कहकर निश्चिन्त हो गई।]

(ग) प्रभाते धीवराः किम् अकुर्वन्? [प्रात:काल में धीवरों ने क्या किया?]
उत्तर:
प्रभाते धीवराः जलाशयं गत्वा जालं प्रसार्य मत्स्यान् अगृह्णन्। [प्रातःकाल धीवरों ने जलाशय पर जाकर जाल फैलाकर मछलियों को पकड़ लिया।]

(घ) अनागतविधाता किम् अवदत्? [अनागतविधाता ने क्या कहा?]
उत्तर:
अनागतविधाता अवदत् ‘श्वः प्रभाते ते धीवराः नूनमेव अत्र आगमिष्यन्ति, सर्वान् च मत्स्यान् जाले बद्धवा नेष्यन्ति’, एतच्चिन्तयित्वा अनागतविधाता अन्यज्जलाशयं अगच्छत्।
[अनागत विधाता ने कहा, “प्रातः काल धीवर अवश्य ही यहाँ आयेंगे और सभी मछलियों को जाल में बाँधकर ले जायेंगे।” ऐसा चिन्तन करके अनागत विधाता दूसरे जलाशय में चली गई।]

(ङ) प्रत्युत्पन्नमतिः स्वनामानुगुणं किम् अकरोत्? [प्रत्युत्पन्नमति ने अपने नाम के अनुसार क्या किया?]
उत्तर:
प्रत्युत्पन्नमतिः स्वनामानुगुणं मृतः इव अतिष्ठत्। [प्रत्युत्पन्नमति अपने नाम के अनुसार मरी हुई-सी हो गई।]

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प्रश्न 3.
रेखांकित शब्द के आधार पर प्रश्न निर्माण करो
(क) मत्स्याः जलाशये अवसन्।
(ख) धीवराः जलाशयम् अवलोकितवन्तः।
(ग) मृतं प्रत्युत्पन्नमति धीवरः जालात् बहिः अकरोत्।
(घ) कस्मिंश्चित् जलाशये त्रयः मत्स्याः अवसन्।
(ङ) धीवराः मत्स्यान् जाले बध्वा नेष्यन्ति।
उत्तर:
(क) मत्स्याः कुत्र अवसन्
(ख) धीवराः किम अवलोकितवन्तः?
(ग) मृतं प्रत्युत्पन्नमतिम् धीवरः कुतः बहिः अकरोत्?
(घ) कस्मिंश्चित् जलाशये कतिः मत्स्याः अवसन्?
(ङ) धीवराः मत्स्यान् कस्मिन् बध्वा नेष्यन्ति?

प्रश्न 4.
पदच्छेद करो (शब्दों को अलग करो)
सन्धियुक्त पद :
(क) अन्यज्जलाशयं
(ख) एतज्ज्ञात्वा
(ग) निश्चिन्तः
(घ) भगवच्छक्त्या
(ङ) तच्चोक्तम्
(च) निश्चयः
(छ) सच्चरित्रः
(ज) सज्जनः
(झ) दुष्चरित्रः
(ज) तपश्चर्या।
उत्तर:
(क) अन्यत् + जलाशयं
(ख) एतत् + ज्ञात्वा
(ग) निः + चिन्तः
(घ) भगवत् + शक्त्या
(ङ) तत् + च + उक्तम
(च) निः + चयः
(छ) सत् + चरित्रः
(ज) सत् + जनः
(झ) दुः + चरित्रः
(ब) तपः + चर्या

प्रश्न 5.
लकार परिवर्तन करो-
MP Board Class 7th Sanskrit Solutions Chapter 15 मत्स्यत्रयकथा img 1
उत्तर:
(क) वदति
(ख) गच्छति
(ग) अकथयत्
(घ) अगच्छत्
(ङ) भवति
(च) गृह्णाति
(छ) तिष्ठति
(ज) प्राविशत्
(झ) अपठत्
(ब) अपिबन्।

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काल 6.
क्रम से वाक्यों को लिखकर कथा लिखो
(क) द्वितीयमत्स्यः प्रत्युत्पन्नमतिः “समयानुगुणं कार्य करोमि” इति निश्चिन्तः अभवत्।
(ख) तृतीयः मत्स्यः जाले पतितः धीवरैः कर्तितः मृतश्च।
(ग) प्रभाते धीवराः जलाशयं गत्वा जालं प्रसार्य मत्स्यान् अगृह्णन्।
(घ) प्रत्युत्पन्नमतिः मृतः इव अतिष्ठत्।
(ङ) वेलाग्रामस्य जलाशये त्रयः मत्स्याः अवसन्।
(च) एकदा धीवराणां वार्तालापं श्रुत्वा जीवनरक्षणाय अनागतविधाता अन्यज्जलाशयम् अगच्छत्।
(छ) तृतीयमत्स्यः यद्भविष्यः अचिन्तयत् “जलशयान्तरेण किं प्रयोजनम्।”
(ज) प्रत्युत्पन्नमति: जले अकूर्दत् जलाशयान्तरे प्राविशच्च।
उत्तर:
(ङ) वेलाग्रामस्य जलाशये त्रयः मत्स्याः अवसन्।
(च) एकदा धीवराणां वार्तालापं श्रुत्वा जीवनरक्षणाय अनागतविधाता अन्यज्जलाशयम् अगच्छत्।
(क) द्वितीयमत्स्यः प्रत्युत्पन्नमतिः “समयानुगुणं कार्यं करोमि” इति निश्चिन्तः अभवत्।
(छ) तृतीयमत्स्यः यद्भविष्यः अचिन्तयत् “जलशयान्तरेण किं प्रयोजनम्।”
(ग) प्रभाते धीवराः जलाशयं गत्वा जालं प्रसार्य मत्स्यान् अगृह्णन्।
(घ) प्रत्युत्पन्नमतिः मृतः इव अतिष्ठत्।
(ज) प्रत्युत्पन्नमतिः जले अकूर्दत् जलाशयान्तरे प्राविशच्च।
(ख) तृतीयः मत्स्यः जाले पतितः धीवरैः कर्तितः मृतश्च।

प्रश्न 7.
दिये गये अव्ययों से वाक्य का निर्माण करोश्वः, एव, इति, अत्र, बहिः, यदि-तर्हिः, नूनं, प्रातः, अपि।
उत्तर:

  1. श्वः अहम् विद्यालयम् गमिष्यामि।
  2. सः अस्मिन् एव ग्रामे वसति।
  3. मोहनः इति नामकः छात्रः क्रीडाम् खेलति।
  4. अत्र आगत्य कार्यम् कुरु।
  5. ग्रामात् बहिः नदी बहति।
  6. यदि सः आगमिष्यति तर्हि अहम् तस्य सहायताम् करिष्यामि।
  7. सः नूनं नगरम् गमिष्यति।
  8. प्रातः भ्रमणार्थम् अहम् गच्छामि।
  9. अहम् तस्य अपि सहायताम् करिष्यामि।

मत्स्यत्रयकथा हिन्दी अनुवाद

वेलाग्रामस्य कस्मिञ्चित् जलाशये अनागतविधाता प्रत्युत्पन्नमतिः यद्यविष्यश्चेति नामकाः त्रयः मत्स्याः अवसन्। कदाचित् तं जलाशयम् अवलोक्य धीवराः परस्परमवदन्, “अस्मिन् जलाशये बहवः मत्स्याः सन्ति, प्रभाते अस्माभिः अत्र अवश्यमेव आगन्तव्यम् इति।” एतादृशं निश्चयं कृत्वा ते अगच्छन्। एतत् श्रुत्वा तेषु मत्स्येषु अनागतविधाता नाम मत्स्यः अकथयत्, “श्वः प्रभाते ते धीवरा: नूनमेव अत्र आगमिष्यन्ति, सर्वान् च मत्स्यान् जाले बध्दता नेष्यन्ति।” एतच्चिन्तयित्वा अनागतविधाता अन्यज्जलाशयं अगच्छत्। एतज्ज्ञात्वा प्रत्युत्पन्नमतिः नाम मत्स्यः “समयानुगणं कार्य करोमि” इति उक्त्वा निश्चिन्तः अभवत्। तृतीयः मत्स्यः यद्मविष्यः अवदत्, “भगवच्छक्त्या अहं जीवामि। यदि मरणमेव निश्चितं तर्हि जलाशयान्तरेण किं प्रयोजनम्? भाग्यानुसारं यद् भविष्यति तद् भवतु” इति।

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अनुवाद :
‘वेला’ ग्राम के किसी जलाशय में अनागतविधाता, प्रत्युत्पन्नमति और यद्भविष्यत् नामक तीन मछलियाँ रहती थीं। किसी समय उस तालाब को देखकर धीवर’ आपस में बोले-‘इस जलाशय में बहुत सी मछलियाँ हैं, प्रात:काल हमें यहाँ अवश्य ही आना चाहिए।’ इस तरह का निश्चय करके वे चले गये। इसे सुनकर, उन मछलियों में से ‘अनागतविधाता’ नाम की मछली ने कहा, “कल प्रात:काल ही वे धीवर (मछुआरे) अवश्य ही यहाँ आयेंगे और सभी मछलियों को जाल में बाँधकर ले जायेंगे।” ऐसा सोचकर ‘अनागतविधाता’ तो दूसरे तालाब को चली गई। इसे जानकर ‘प्रत्युत्पन्नमति’ नामक मछली “समय के अनुसार कार्य करती हूँ” ऐसा कहकर चिन्तामुक्त हो गई। तीसरी मछली ‘यद्भविष्यत’ बोली-“भगवान की शक्ति से मैं जीवित हूँ।” यदि मरना ही निश्चय है तो दूसरे जलाशय से क्या लाभ ? भाग्य के अनुसार जो हो, वह हो जाए।”

प्रभाते धीवराः जलाशयं गत्वा जालं प्रसार्य मत्स्यान् अगृणन्। प्रत्युत्पन्नमतिः मृतः इव अतिष्ठत्। मृतमिव प्रत्युत्पन्नमतिं दृष्ट्वा धीवरः तं जालात् बहिः अकरोत्। प्रत्युत्पन्नमतिः स्वानामानुगुणं मतिप्रयोगेण ततः जले अकूर्दत् जलाशयान्तरे प्राविशच्च। तृतीयः मत्स्यः जाले पतितः धीवरैः कर्तितः मृतश्च अभवत्। तच्चोक्तम्-

“अनागतविधाता च प्रत्युत्पन्नमतिस्तथा।
द्वावेतौ सुखमेधेते यद्भविष्यो विनश्यति॥”

अनुवाद :
प्रात:काल धीवरों (मछुआरों) ने तालाब पर जाकर जाल फैलाकर मछलियों को पकड़ा। ‘प्रत्युत्पन्नमति’ मरे हुए जैसी हो गई। मरी हुई सी प्रत्युत्पन्न मति को देखकर धीवर (मछुआरे) ने उसे जाल से बाहर कर दिया। ‘प्रत्युत्पन्नमति’ अपने नाम के अनुसार मति (बुद्धि) का प्रयोग करके इसके बाद जल में कूद गयी और दूसरे जलाशय में प्रवेश कर गयी। तीसरी मछली जाल में गिर जाने से (फंस जाने से) धीवरों के द्वारा काट डाली गई और मर गई। उसने कहा-

“अनागतविधाता और प्रत्युत्पन्नमति ये दोनों सुख से वृद्धि। को प्राप्त हुईं परन्तु ‘यद्भविष्यत्’ नष्ट हो गई है।”

मत्स्यत्रयकथा शब्दार्थाः

मत्स्याः = मछलियाँ। जलाशयः = तालाब। धीवरः = मछुआरा। अवलोक्य = देखकर। नूनम् = अवश्य। बध्वा = बाँधकर। जलाशयान्तरम् = दूसरे जलाशय में। अगृहणन् = पकड़ लिए। सुखमेधेते = (दोनों) सुख से बढ़ रहे हैं। विनश्यति = नष्ट होता है।

MP Board Class 7th Sanskrit Solutions