MP Board Class 9th Maths Solutions Chapter 2 बहुपद Ex 2.3

MP Board Class 9th Maths Solutions Chapter 2 बहुपद Ex 2.3

प्रश्न 1.
x + 3x2 + 3x + 1 को निम्नलिखित से भाग देने पर शेषफल ज्ञात कीजिए :
(i) x + 1
(ii) x – \(\frac { 1 }{ 2 }\)
(iii) x
(iv) x + π
(v) 5 + 2x
हल:
(i) p(x) = x + 5x2 + 3x + 1 एवं x + 1 का शून्यक – 1 है।
⇒ p(-1) = (-1)3 + 3 (-1)2 + 3 (-1) + 1
= -1 + 3 – 3 + 1 = 4 – 4 = 0
अतः शेषफल प्रमेय के अनुसार अभीष्ट शेषफल = 0.

(ii) p(x) = x + 3x2 + 3x + 1 एवं x – \(\frac { 1 }{ 2 }\) का शून्यक \(\frac { 1 }{ 2 }\) है
MP Board Class 9th Maths Guide Chapter 2 बहुपद Ex 2.3 1
अतः शेषफल प्रमेय के अनुसार अभीष्ट शेषफल = \(\frac { 27 }{ 8 }\)

(iii) p(x) = x3 + 3x2 + 3x + 1 एवं का शून्यक 0 है
p(0) = (0)3 + 3 (0)2 + 3(0) + 1
= 0 + 0 + 0 + 1 = 1
अतः शेषफल प्रमेय के अनुसार अभीष्ट शेषफल = 1.
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(iv) p(x) = x3 + 3x2 + 3x + 1 एवं x + π का शून्यक – π है
⇒ p(- π ) = (- π )3 + 3(-π)2 + 3 (-1) + 1
= – π3 + 3π2 – 3π + 1
अतः शेषफल प्रमेय के अनुसार अभीष्ट शेषफल = – π3 + 3π2 – 3π + 1

(v) p(x) = x + 3x2 + 3x + 1 एवं 5 + 2x का शून्यक –\(\frac { 5 }{ 2 }\) है
MP Board Class 9th Maths Guide Chapter 2 बहुपद Ex 2.3 2
अतः शेषफल प्रमेय के अनुसार अभीष्ट शेषफल = –\(\frac { 27 }{ 8 }\).

प्रश्न 2.
x3 – ax2 + 6x – a को x – a से भाग देने पर शेषफल ज्ञात कीजिए।
हल:
माना p(x) = x3 – ax2 + 6x – a एवं x – a का शून्यक a है
p(a) = a3 – a(a) + 6 (a) – a
= a3 – a3 + 6a – a = 5a
अतः शेषफल प्रमेय के अनुसार अभीष्ट शेषफल = 5a.

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प्रश्न 3.
जाँच कीजिए कि 7 + 3x, 3x3 + 7x का एक गुणनखण्ड है या नहीं ?
हल:
माना p(x) = 3x3 + 7x एवं 7 + 3x का शून्यक \(\frac { 7 }{ 3 }\) है।
MP Board Class 9th Maths Guide Chapter 2 बहुपद Ex 2.3 3
अतः 7 + 3x व्यंजक 3x2 + 7x का एक गुणनखण्ड नहीं है।

MP Board Class 9th Maths Solutions

MP Board Class 9th Maths Solutions Chapter 2 बहुपद Ex 2.5

MP Board Class 9th Maths Solutions Chapter 2 बहुपद Ex 2.5

प्रश्न 1.
उपयुक्त सर्वसमिकाओं को प्रयोग करके निम्नलिखित गुणनफल ज्ञात कीजिए :
(i) (x +4) (x + 10)
(ii) (x + 8) (x – 10)
(iii) (3x + 4) (3x – 5)
(iv) (y2 + \(\frac { 3 }{ 2 }\) ) ( y2 – \(\frac { 3 }{ 2 }\))
(v) (3 – 2x) (3 + 2x).
हल:
(i) चूँकि (x+ a) (x + b) = x2 + (b + a)x + ab (सर्वसमिका)
⇒ (x +4) (x + 10) = x2+ (10 + 4) x + (4) (10)
= x2 + 14x + 40
अतः अभीष्ट गुणनफल = x2 + 14x + 40.

(ii) चूँकि (x + a) (x – b) = x2 + (a- b)x – (a) (b) (सर्वसमिका)
⇒ (x + 8)(x – 10) = x2 + (8 – 10)x – (8) (10)
= x2 – 2x – 80
अतः अभीष्ट गुणनफल =x2 – 2x -80.

(iii) चूँकि (a + b) (a – c) = (a)2 + (b – c) (a) – (b)(c) (सर्वसमिका)
⇒ (3x+ 4) (3x – 5) = (3x)2 + (4 – 5) (3x) – (4)(5)
= 9x2 – 3x – 20
अतः अभीष्ट गुणनफल = 9x2 – 3x – 20.

(iv) चूँकि (a + b) (a – b) = a2 – b2 (सर्वसमिका)
MP Board Class 9th Maths Solutions Chapter 2 बहुपद Ex 2.5 1

(v) चूँकि (a – b) (a + b) = a2 – b2 (सर्वसमिका)
(3 – 2x) (3 + 2x) = (3)2 – (2x)2
= 9 – 4x2
अतः अभीष्ट गुणनफल = 9 – 4x2.
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प्रश्न 2.
सीधे गुणा किए बिना निम्नलिखित गुणनफलों के मान ज्ञात कीजिए :
(i) 103 x 107
(ii) 95 x 96
(iii) 104 x 96
हल:
(i) चूँकि (x + a) (x + b) = x2 + (a + b)x + ab (सर्वसमिका)
यदि x = 100, a = 3 एवं b = 7 हो, तो
(100 + 3) (100 + 7) = (100)2 + (3 + 7) (100) + (3) (7)
⇒ (103) (107) = 10000 + 1000 + 21 = 11021
अतः अभीष्ट गुणनफल = 11021.

(ii) चूँकि (x + a) (x + b) = x2 + (a + b) x + ab (सर्वसमिका)
अब x = 100, a = – 5, b = – 4 रखने पर,
⇒ (100 – 5) (100 – 4) = (100)2 + (-5 – 4) (100) + (-5) (-4)
⇒ 95 x 96 = 10000 – 900 + 20
⇒ 95 x 96 = 9120
अतः अभीष्ट गुणनफन = 9120.

(iii) चूँकि (a + b) (a – b) = a – b2 (सर्वसमिका)
अब a = 100, b = 4 रखने पर,
⇒ (100 + 4) (100 – 4) = (100)2 – (4)2
⇒ 104 x 96 = 10000 – 16
⇒ 104 x 96 = 9984
अतः अभीष्ट गुणनफल = 9984.

प्रश्न 3.
उपयुक्त सर्वसमिकाएँ प्रयोग करके निम्नलिखित के गुणनखण्डन कीजिए :
(i) 9x2 + 6xy + ya
(ii) 4y2 – 4y + 1
(iii) x2 – 100
हल:
(i) चूँकि a2 + 2ab + b2 = (a + b)2
अब a = 3x एवं b = y रखने पर,
⇒ (3x)2 + 2 (3x) (y) + (y)2 = (3x + y)2
⇒ 9x2 + 6xy + y2 = (3x + y)2
अतः अभीष्ट गुणनखण्ड = (3x + y)2.

(ii) चूँकि (a)2 – 2ab + (b)2 = (a – b)2
अब a= 2y एवं b = 1 रखने पर,
⇒ (2y)2 – 2 (2y) (1) + (1)2 = (2y – 1)2
⇒ 4y4 – 4y + 1 = (2y – 1)2
अतः अभीष्ट गुणनखण्ड = (2y – 1)2

(iii) चूँकि a2 – b2 = (a – b) (a + b)
अब a = x एवं b = y/10 रखने पर,
MP Board Class 9th Maths Solutions Chapter 2 बहुपद Ex 2.5 2
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प्रश्न 4.
उपयुक्त सर्वसमिकाओं का प्रयोग करके निम्नलिखित में से प्रत्येक का प्रसार कीजिए :
(i) (x + 2y + 4z)2
(ii) (2x – y + z)2
(iii) (-2x + 3y + 2z)2
(iv) (3a – 7b – c)2
(v) (-2x + 5y – 3z)2
(vi) [ \(\frac { 1 }{ 4 }\)a – \(\frac { 1 }{ 2 }\)b + 1]2
(i) ∵ सर्वसमिका : (p + q + r)2 = p2 + q2 + r2 +1 (pq + qr + rp)
अब p =x, q= 2y एवं r = 4z रखने पर प्राप्त होता है :
(x + 2y + 4z)2 = (x)2 + (2y)2 + (4z)2 + 2 [(x)(2y) + (2y)(4z) + (4z)(x)]
= x2 + 4y2 + 16z2 + 2(2xy + 8yz + 4zx)
= x2 + 4y2+ 16z2 + 4xy + 16yz + 8zx.
अतः अभीष्ट प्रसार = x2 + 4y2 + 16z2 + 4xy + 16yz + 8 zx.

(ii) ∵ सर्वसमिका :  (p + q + r)2 = p2 + q2 + r2 + 2 (pq + qr + rp)
अब p = 2x, q = -y एवं r = z रखने पर प्राप्त होता है :
(2x – y + z)2 = (2x)2 + (-y)2 + (z)2 + 2 [(2x)(-y) + (-y)(z) + (z)(2x)]
= 4x2 + y2 + z2 + 2 (- 2xy – 2yz + 2zx)
= 4x2 + y2 + z2 – 4xy – 2yz + 4zx
अतः अभीष्ट प्रसार 4x2 +y2 + z2– 4xy – 2yz + 4zx.

(iii) ∵ सर्वसमिका :  (p + q + r)2 = p2 + q2 + r2 + 1 (pq + qr + rp)
अब p = – 2x, q = 3y एवं  r = 2z रखने पर प्राप्त होता है :
(- 2x + 3y + 2z)2 = (- 2x)2 + (3y)2 + (2z)2 + 2 [(- 2x)(3y) + (3y)(2z) + (2z)(- 2x)]
(- 2x + 3y + 2z)2 = 4x2 + 9y2 + 4z2 + 2 (- 6xy + 6yz – 4zx)
= 4x2 + 9y2 + 4z2 – 12xy + 12yz – 8zx
अतः अभीष्ट प्रसार = 4x2 + 9y2 + 4z2 – 12xy + 12yz – 8zx.

(iv)  ∵ सर्वसमिका :  (p + q + r)2 = p2 + q2 + r2 + 2 (pq + qr + rp)
अब p = 3a, q = – 7b एवं r = – c रखने पर प्राप्त होता है।
(3a – 7b – c)2 = (3a)2 + (- 7b)2 + (- c)2 + 2 [(3a(- 7b) + (- 7b)(- c) + (- c)(3a)]
= 9a2 + 49 b2 + c2 + 2 (- 21ab + 7bc – 3ca)
= 9a2 + 49 b2 + c2 – 42ab + 146c – 6ca
अतः अभीष्ट प्रसार = 9a2 + 49 b2 + c2 – 42ab + 14be – 6ca.

(v)  ∵ सर्वसमिका :  (p + q + r)2 = p2 + q2 + r2 + 2 (pq + qr + rp)
अब p = – 2x, q = 5y एवं r = – 3z रखने पर प्राप्त होता है:
(- 2x + 5y – 3z) = (- 2x)2 + (5y)2 + (- 3z)2 + 2 [(- 2x)(5y) + (5y)(- 3z) + (- 3z) x (- 2x)]
= 4x2 + 25y2 + 9z2 + 2 (- 10xy – 15yz + 6zx)
= 4x2 + 25y2 + 9z2 – 20xy – 30yz + 12zx
अतः अभीष्ट प्रसार = 4x2 + 25y2 + 9z2 – 20xy – 30yz + 12zx.

(vi) ∵ सर्वसमिका :  (p + q + r)2 = p2 + q2 + r2 + 2 (pq + qr + rp)
अब p = \(\frac { 1 }{ 4 }\), q = –\(\frac { 1 }{ 2 }\) एवं r  = 1 रखने पर प्राप्त होता है :
MP Board Class 9th Maths Solutions Chapter 2 बहुपद Ex 2.5 3

प्रश्न 5.
गणनखण्ड कीजिए :
(i) 4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz (2018)
(ii) 2x2 + y2 + 8z2 – 2 √2 xy + 4√2 yz – 8xz.
हल:
(i) चूँकि दिए गए बहुपद में yz एवं zx के गुणांक ऋणात्मक हैं जिनमें उभयनिष्ठ है, अतः z का गुणांक ऋणात्मक होगा।
अब 4x2 + 9y2 + 16z2 + 12xy – 24xz – 16xz
= (2x)2 + (3y)2 + (- 4z)2 + 2 (2x) (3y) + 2 (3y)(- 4z) + 2 (- 4z)(2x)
= (2x + 3y – 4z)2 [ ∵ a2 + b2 + c2 + 2ab + 2bc + 2ca = (a + b + c)2 सर्वसमिका]
अत: अभीष्ट गुणनखण्ड = (2x + 3y – 4z)2 .

(ii) चूँकि दिए हुए बहुपद में xy एवं xz के गुणांक ऋणात्मक है जिनमें x उभयनिष्ठ है अतः x का गुणांक ऋणात्मक होगा।
अब
2x2 + y2 + 8z2 – 2√2 xy + 4√2 yz – 8 xz
= ( -√2x)2 + (y)2 + (2√2z)2 + 2(-√2x)(y) + 2(y)(2√2z) + 2(2√2z)(- √2x)
= ( -√2x + y + (2√2z)2  [∵ a2 + b2 + c2 + 2a + 2bc + 2ca = (a + b + c)2 सर्वसमिका]
अतः अभीष्ट गुणनखण्ड = (-√2 x + y + 2√2z)2

प्रश्न 6.
निम्नलिखित घनों को प्रसारित रूप में लिखिए :
(i) (2x + 1)3 (2019)
(i) (2a – 3b)3
(ii) (\(\frac { 3 }{ 2 }\)x + 1)3
(iv) (x – \(\frac { 2 }{ 3 }\)y )3
हल:
(i) चूँकि सर्वसमिका : (p + q)3 = p3 + 3p2q + 3pq2 + q3
अब p = 2x एवं q = 1 रखने पर प्राप्त होता है :
(2x + 1)3 = (2x)3 + 3 (2x)2 (1) + 3 (2x) (1)2 + (1)3
= 8x3 + 12x2 + 6x + 1
अतः अभीष्ट प्रसार = 8x3 + 12x2 + 6x + 1.

(ii) चूँकि सर्वसमिका : (p + q)3 = p3 + 3p2q + 3pq2 + q3
अब p = 2a एवं q = -3b रखने पर प्राप्त होता है :
(2a – 3b)3 = (2a)3 + 3(2a)2(- 3b) + 3(2a)(- 3b)2 + (- 3b)3
= 8a3 – 36a2b + 54 ab2 – 21b3
अतः अभीष्ट प्रसार = 8a3 – 36a2b + 54 ab2 – 21b3

(iii) चूँकि सर्वसमिका : (p + q)3 = p3 + 3p2q + 3pq2 + q3
अब p = \(\frac { 3 }{ 2 }\) एवं q = 1 रखने पर प्राप्त होता है :
MP Board Class 9th Maths Solutions Chapter 2 बहुपद Ex 2.5 4

(iv) चूँकि सर्वसमिका : (p + q)3 = p3 + 3p2q + 3pq2 + q3
अब p = x एवं q = –\(\frac { 2 }{ 3 }\)y रखने पर प्राप्त होता है।
MP Board Class 9th Maths Solutions Chapter 2 बहुपद Ex 2.5 4a

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प्रश्न 7.
उपयुक्त सर्वसमिकाएँ प्रयोग करके निम्नलिखित के मान ज्ञात कीजिए :
(i) (99)3
(ii) (102)3
(iii) (998)3.
हल:
(i) चूँकि सर्वसमिका = (p + q)3 = p3 + 3p2q + 3pq2 + q3
अब p = 100 एवं q = – 1 रखने पर प्राप्त होता है :
(100 – 1)3 = (100)3 + 3(100)2 (- 1) + 3(100)(- 1)2 + (-1)3
⇒ (99)3 = 1000000 – 30000 + 300 – 1
= 1000300 – 30001 = 970299
अतः अभीष्ट मान = 970299.

(ii) चूँकि सर्वसमिका : (p + q)3 = p3 + 3p2q + 3pq2 + q3
अब p = 100 एवं q = 2 रखने पर प्राप्त होता है :
(100 + 2)3 = (100)3 + 3(100)2(2) + 3(100)(2)2 + (2)3
⇒  (102)3 = 1000000 + 60000 + 1200 + 8 = 1061208
अतः अभीष्ट मान = 1061208.

(iii) चूँकि सर्वसमिका : (p + q)3 = p3 + 3p2q + 3pq2 + q3
अब p = 1000 एवं q = – 2 रखने पर प्राप्त होता है :
(1000 – 2)3 = (1000)3 + 3(1000)2(- 2) + 3(1000)(- 2)2 + (- 2)3
⇒ (998)3 = 1000000000 – 6000000 + 12000 – 8
= 1000012000 – 6000008
= 994011992
अतः अभीष्ट मान = 994011992.

प्रश्न 8.
निम्नलिखित में से प्रत्येक का गुणनखण्ड कीजिए :
(i) 8a3 + b3 + 12 a2A + 6ab2
(ii) 8a3 – b3 – 12a2A + 6ab2
(iii) 27 – 125a3 – 135a + 225a2
(iv) 64a3 – 27b3 – 144a2b + 108ab2
(v) \( 27 p^{3}-\frac{1}{216}-\frac{9}{2} p^{2}+\frac{1}{4} p\)
हल :
(i) 8a3 + b3 + 12a2 b + 6ab2 = (2a)3 + (b)3 + 3(2a)2 (b) + 3(2a)(b)2
= (2a + b)3             [∵  p3 + q3 + 3p2q + 3pq2 = (p + q)3]
अत: अभीष्ट गुणनखण्ड = (2a + b)3.

(ii) 8a3 – b3 – 12a2b + 6ab2
= (2a)3 + (- b)3 + 3(2 a)2(- b) + 3(2 a)(- b)2
= (2a – b)3    [∵  p3 + q3 + 3p2q + 3pq2 = (p + q)3]
अतः अभीष्ट गुणनखण्ड = (2a – b)3

(iii) 27 – 125a3 – 135a + 225a2  = (3)3 + (- 5a)3 + 3(3)2 (- 5a) + 3(3) (- 5a)2
= (3 – 5a)3 [ ∵  p3 + q3 + 3p2q + 3pq2 = (p + q)3 सर्वसमिका]
अतः अभीष्ट गुणनखण्ड = (3 – 5a)3

(iv) 64a3 – 21b3 – 144a2b + 108 ab2
= (4a)3 + (- 3b)3 + 3(4a)2 (- 3b) + 3(4a)(- 3b)2
= (4a – 3b)3 [ ∵ p3 + q3 + 3p2q + 3pq2 = (p + q)3 सर्वसमिका]
अतः अभीष्ट गुणनखण्ड = (4a – 3b)3.

(v) \( 27 p^{3}-\frac{1}{216}-\frac{9}{2} p^{2}+\frac{1}{4} p\)
MP Board Class 9th Maths Solutions Chapter 2 बहुपद Ex 2.5 5

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प्रश्न 9.
सत्यापित कीजिए कि :
(i) x3 + y3 = (x + y) (x2 – xy + y2)
(ii) x3 – y3 = (x – y)(x2 + xy +y2)
हल:
(i) हम जानते हैं कि (x + y)3 = x3 + y3 + 3x2y + 3xy2 = x3 +y3 + 3xy (x +y)(सर्वसमिका)
⇒ x3 + y3 = (x + y)3 – 3xy(x + y)
= (x + y) [(x + y)2 – 3xy]
= (x + y) [x2 + 2xy + y2 – 3xy]
⇒  x3 + y3  = (x + y) (x2 – xy + y2)  इति सिद्धम्

(ii) हम जानते हैं कि (x – y)3 = x3 + y3 + 3x2y + 3xy2 = x3 +y3 + 3xy (x +y)(सर्वसमिका)
x3 – y3 = (x – y)3 + 3xy (x – y)
= (x – y)[(x – y)2 + 3xy]
= (x – y) [x2 – 2xy + y2 + 3xy]
⇒ x3 – y3 = (x – y) (x2 + xy + y2). इति सिद्धम्

प्रश्न 10.
निम्नलिखित में से प्रत्येक का गुणनखण्ड कीजिए :
(i) 27 y3 + 125z3
(ii) 64m3 – 343n3.
हल:
(i) 27y3 + 125z3
= (3y)3 + (5z)3
= (3y + 5z) [(3y)2 – (3y)(5z) + (5z)2]     (∵ p3 + q3 = (p + q) {p2-pq + q2)
= (3y + 5z) (9y2 – 15yz + 25z2)
अत: अभीष्ट गुणनखण्ड = (3y + 5z) (9y2 – 15yz + 25z2).

(ii) 64m3 – 343n2 = (4m)3  – (7n)3
= (4m – 7n) [(4m)2 + (4m) (7n) + (7n)2]   [∵ p3 – q3 = (p – q)p2 + pq + q2]
= (4m – 7n) (16m2 + 28m.n + 49n2)
अतः अभीष्ट गुणनखण्ड  = (4m – 7n) (16m2 + 28m.n + 49n2).

प्रश्न 11.
गुणनखण्ड कीजिए : 27x3 +  y3  + z3 – 9xyz.
हल:
27x3 +  y3  + z3 – 9xyz = (3x)3 + (y)3 + (z)3 – 3(3x)(y)(z)
= (3x + y + z) [(3x)2 + (y)2 + (z)2 – (3x) (y) – (y)(z) – (z)(3x)]
= (3x + y + z) (9x2 + y2 + z2 – 3xy – yz – 3zx)
अत: अभीष्ट गुणनखण्ड  = (3x + y + z) (9x2 + y2 + z2 – 3xy – yz – 3zx)

प्रश्न 12.
सत्यापित कीजिए :
x3 + y3 + z3 – 3xyz = \(\frac { 1 }{ 2 }\) (x + y + z) [(x – y)2 + (y – z)2 + (z – x)2]. (2019)
हल:
MP Board Class 9th Maths Solutions Chapter 2 बहुपद Ex 2.5 6

प्रश्न 13.
यदि x + y + z = 0 हो, तो दिखाइए कि x3 +  y3  + z3 = 3xyz. (2018)
हल:
हम जानते हैं कि :
x3 +  y3  + z3 – 3xyz = (x + y + 2) (x2 + y2 + z2 – 3xy – yz – 3zx) (सर्वसमिका) …(1)
लेकिन x + y + z = 0 (दिया है)  …(2)
समीकरण (1) एवं (2) से,
x3 + y3 + z3 – 3 xyz = 0 x (x2 + y2+ z2 – xy – yz – zx) = 0
⇒ x3 + y3 + z3 – 3xyz.   इति सिद्धम्
MP Board Solutions

प्रश्न 14.
वास्तव में घनों का परिकलन किए बिना निम्नलिखित में से प्रत्येक का मान ज्ञात कीजिए :
(i) (-12) + (7) + (5)3
(ii) (28) + (-15)3 + (-13)3.
हल:
(i) चूँकि (-12) + (7) + (5) = – 12 + 12 = 0 है
(- 12)3 + (7)3 + (5)3 = 3(-12) (7) (5)
= – 1260
अतः   अभीष्ट मान = -1260.

(ii) चूँकि (28) + (-15) + (-13) = 28 – 28 = 0 है
⇒ (28)3 + (- 15)3 + (- 13)3 = 3(28) (- 15) (- 13)
= 16380
अतः अभीष्ट मान = 16380.

प्रश्न 15.
नीचे दिए गए आयतों, जिनमें उनके क्षेत्रफल दिए गए हैं, में से प्रत्येक की लम्बाई और चौड़ाई के लिए सम्भव व्यंजक ज्ञात कीजिए :
(i)  क्षेत्रफल : 25a2 – 35a + 12
(ii) क्षेत्रफल : 35y2 + 13y – 12
हल:
(i) क्षेत्रफल = 25a2 – 35a + 12
= 25a2 – (20 + 15) a + 12
= 25a2 – 20a – 15a + 12
= 5a (5a – 4) – 3 (5a – 4)
= (5a – 4) (5a – 3)  = चौड़ाई x लम्बाई
अतः सम्भावित अभीष्ट लम्बाई = (5a – 3) एवं चौड़ाई = (5a – 4).

(ii) क्षेत्रफल = 35y2 + 13y – 12
= 35y2 + (28 – 15) y – 12
= 35y2 + 28y – 15y – 12
= 7y (5y + 4) – 3 (5y + 4)
= (5y + 4) (7y – 3) = लम्बाई x चौड़ाई
अतः सम्भावित अभीष्ट लम्बाई एवं चौड़ाई क्रमशः (5y + 4) एवं (7y – 3) हैं।

MP Board Solutions

प्रश्न 16.
घनाभों जिनके आयतन नीचे दिए गए हैं, विमाओं के लिए सम्भव व्यंजक ज्ञात कीजिए :
(i) आयतन : 3x3 – 12x
(ii) आयतन : 12ky2 + 8ky – 20k
हल:
(i) आयतन = 3x3 – 12x
= 3x [x2 – 4]
= 3x [(x)2 – (2)2]
= 3x (x – 2) (x + 2)
अतः सम्भावित अभीष्ट विमाएँ : 3x, (x – 2) एवं (x + 2) हैं।

(ii) आयतन = 12ky2 + 8ky – 20k
= 4k [3y2 + 2y – 5]
= 4k [3y2 + (5 – 3) y – 5]
= 4k [y (3y + 5) – 1 (3y + 5)]
= 4k (3y + 5) (y – 1)
अतः सम्भावित अभीष्ट विमाएँ : 4k, (3y + 5) एवं (y – 1) हैं।

MP Board Class 9th Maths Solutions

MP Board Class 9th Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1

MP Board Class 9th Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1

प्रश्न 1.
संलग्न चित्र में रेखाएँ AB और CD बिन्दु 0 पर प्रतिच्छेद करती हैं। यदि ∠AOC + LBOE = 70° है और ∠BOD = 40° है, तो ∠BOE और प्रतिवर्ती ∠COE ज्ञातकीजिए।
MP Board Class 9th Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1 1
हल:
∴∠AOC = ∠BOD = 40° ….(1) .. [शीर्षाभिमुख कोण हैं तथा ∠BOD = 40° (दिया है)]
∠AOC + ∠BOE = 70° …(2) (दिया है)
⇒ 40° + ∠BOE = 70° [समीकरण (1) एवं (2) से]
⇒ ∠BOE = 70° – 40° = 30° ….(3)
अतः अभीष्ट कोण ∠BOE = 30°
∴ ∠AOC + ∠COE + ∠BOE = 180° [ रेखा AB के बिन्दु 0 पर बने एक ओर के कोण हैं] …(4)
⇒ 40° + ∠COE + 30° = 180° [समीकरण (1), (3) एवं (4) से]
⇒ ∠COE = 180° – 40° – 30° = 180° – 70° = 110° …(5)
⇒ प्रतिवर्ती ∠COE = 360° – ∠COE (परिभाषा से) …(6)
⇒ प्रतिवर्ती ∠COE = 360° – 110° = 250° [समीकरण (5) एवं (6) से]
अतः अभीष्ट प्रतिवर्ती ∠COE = 250°.
MP Board Solutions

प्रश्न 2.
संलग्न चित्र में रेखाएँ XY और MN बिन्दु 0 पर प्रतिच्छेद करती हैं। यदि ∠POY= 90° और a : b = 2 : 3 है, तो c ज्ञात कीजिए।
MP Board Class 9th Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1 2
हल:
∵ a/b = 2/3 (दिया है)
⇒ a = \(\frac { 2 }{ 3 }\)b ….(1)
∵ a + b + ∠POY = 180° [∵ XY के बिन्दु 0 पर एक ओर बने कोण हैं।]
⇒ a + b + 90° = 180° [∵ ∠POY = 90° (दिया है)]
⇒ a + b = 180° – 90° = 90° …(2)
⇒ \(\frac { 2 }{ 3 }\)b + b = 90° [समीकरण (1) और (2) से]
⇒ 90° = b = \(\frac { 3 }{ 5 }\) x 90° = 3 x 18° = 54°
∵ b + c = 180° [∵ MN के बिन्दु 0 पर एक ओर बने कोण हैं।]
⇒ 54° + c = 180°
⇒ c = 180° – 54° = 126° [∵ b = 54° समीकरण (3) से]
अतः अभीष्ट कोण c = 126°.

प्रश्न 3.
संलग्न चित्र में यदि ∠PQR = ∠PRQ तो सिद्ध कीजिए कि : ∠PQS = ∠PRT है। (2019)
MP Board Class 9th Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1 3
हल:
∵ ∠PQS + ∠PQR = 180° (∵ रेखा ST के बिन्दु Q पर बने एक ओर के कोण है) …(1)
∵ ∠PRQ + ∠PRT = 180° (∵ रेखा ST के बिन्दु R पर बने एक ओर के कोण है) …(2)
⇒ ∠PQS + ∠PQR = ∠PRQ + ∠PRT, [समीकरण (1) एवं (2) से] …(3)
∵ ∠PQR = ∠PRQ (दिया है) …(4)
अतः ∠PQS = ∠PRT. [समीकरण (3) – समीकरण (4) से]
MP Board Solutions

प्रश्न 4.
संलग्न चित्र में यदि x + y = w + x है तो सिद्ध कीजिए कि AOB एक रेखा है।
MP Board Class 9th Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1 4
हल:
चूँकि एक बिन्दु पर बने सभी कोणों का योग = 360°
⇒ x + y + z + w = 360° …(1)
∵ x + y = w + z …(2)
⇒ (x + y) + (x + y) = 360° [समीकरण (1) एवं (2) से]
⇒ 2 (x + y) = 360°
⇒ x + y = \(\frac { { 360 }^{ ° } }{ 2 }\) = 180°
अत: AOB एक रेखा है। (रैखिक युग्म अभिगृहीत से)

प्रश्न 5.
संलग्न चित्र में POQ एक रेखा है। किरण OR रेखा PQ पर लम्ब है। किरणों OP और OR के बीच OS एक अन्य किरण है।
सिद्ध कीजिए: ∠ROS = \(\frac { 1 }{ 2 }\) (∠QOS – ∠POS). (2018)
MP Board Class 9th Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1 5
हल:
∵ ∠QOS = ∠ROS + ∠ROQ (चित्रानुसार) …(1)
∵ ∠POS = ∠POR – ∠ROS (चित्रानुसार) …(2)
∠POR = ∠ROQ = 90° (∵ RO ⊥ PQ) …(3)
∠POS = ∠ROQ – ∠ROS [समीकरण (2) एवं (3) से] …(4)
⇒ ∠QOS – ∠POS = 2 ∠ROS [समीकरण (1) – समीकरण (4) से]
अतः ∠ROS = \(\frac { 1 }{ 2 }\)(∠QOS – ∠POS). इति सिद्धम्

प्रश्न 6.
यह दिया है कि ∠XYZ = 64° और XY को बिन्दु P तक बढ़ाया गया है। दी हुई सूचना से एक आकृति खींचिए। यदि किरण YQ, ∠ZYP को समद्विभाजित करती है, तो ∠XYQ और प्रतिवर्ती ∠QYP के मान ज्ञात कीजिए।
MP Board Class 9th Maths Solutions Chapter 6 रेखाएँ और कोण Ex 6.1 6
MP Board Solutions
हल:
दी हुई सूचना के आधार पर खींची गई आकृति चित्र 6.15 में है।
प्रश्नानुसार,
∠XYZ = 64° …(1)
⇒ ∠ZYP = 180° – ∠XYZ = 180° – 64° = 116° …(2)
चूँकि किरण YQ, ∠ZYP की समद्विभाजक है। (दिया है)
⇒ ZYQ = ∠OYP = \(\frac { 1 }{ 2 }\) ∠ZYP ….(3)
⇒ ∠ZYQ = ∠QYP = \(\frac { 1 }{ 2 }\) x 116° = 58° [समीकरण (2) एवं (3) से] …(4)
∠XYQ = ∠XYZ + ∠ZYQ = 64° + 58° = 122° [समी. (1) एवं (4) से]
एवं प्रतिवर्ती ∠QYP = 360° – ∠QYP
प्रतिवर्ती ∠OYP = 360° – 58° ∵ ∠QYP = 58°, समी. (4) से]
= 302°
अतः अभीष्ट ∠XYQ = 122° एवं अभीष्ट प्रतिवर्ती ∠QYP = 302°.

MP Board Class 9th Maths Solutions

MP Board Class 9th Special English Grammar Type III

MP Board Class 9th Special English Grammar Type III

1. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the correct sentence in your answer sh^bt against, the correct blank number. (1/2 x 6 = 3 marks)
Gopal Bhar asked / so upset / he was / the minister / why Gopal Bhar asked the minister why he was so upset.

(a) The minister told / that the Nawab / had set / Gopal / task / him an impossible
(b) Then Gopal / to ask the Nawab / to give him / this difficult task / and one year / a minion rupees / to complete / told the minister
(c) Gopal promised / after one year / that he would / with the results / the minister / go to the Nawab.
(d) themes / timeless / such / this / because / are / is /
(e) stories / a / all / nave been / animal / favourite / groups / with / age /
(f) young / very / humanised / the / stories / animal / like /
Answer:
(a) The minister told Gopal that the Nawab had set him an impossible task.
(b) Then Gopal told the minister to ask the Nawab to give him a million rupees and one year to complete this difficult task.
(c) Gopal promised the minister that he would go to the Nawab after one year with the results.
(d) This is because such themes are timeless.
(e) Animal stories have been a favorite with all age groups.
(f) The young like very humanised animal stories.

MP Board Solutions

2. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the correct sentence in your answer sheet against the correct blank number. (1/2 x 6 = 3 Marks)

The minister / an impossible task / he was upset / had set him / told Gopal / because the Nawab. The minister told Gopal he was upset because the Nawab had set him an impossible task.

(a) Gopal told / this difficult task / to tell tire Nawab / to complete / one year / the minister / that it would take
(b) He also asked / a lot of work / for a million rupees / as there was / to be done / the minister to ask / for expenses
(c) Gopal promised / after one year / that he would / with the results / the minister / go to the Nawab.
(d) holidays / their / children / this / the / is / refrain / hear / during /
(e) one / since / in / summer / worse / are / things / play / cannot / sun / in / the /
(f) hands / condemned / on / their / the / to / indoors / a lot of time / children / rest / are / with /
Answer:
(a) Gopal told the minister to tell the Nawab that it would take one year to complete this difficult task.
(b) He also asked the minister to ask for a million rupees for expenses as there was a lot of work to be done.
(c) Gopal promised the minister that he would go to the Nawab with the results after one year.
(d) This is the refrain children hear during their holidays.
(e) In summer things are worse since one cannot play in the sun.
(f) The children are condemned to rest indoors with a lot of time on their hands.

3. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the correct answers in your answer sheet against the correct blank numbers. (1/2 x 6 = 3 Marks)

thought / very good advice / the holy man / Rama’s mother / her / had given. Rama’s mother thought the holy man had given her very good advice.
(a) his last chance / him / it was / after telling / to the temple / Rama’s mother sent / him off
(b) Kali / in her most / before him / took pity / on him and / awe-inspiring form / appeared
(c) burst / at the frightening form / into laughter / took one look / and / Rama
(d) can kill / electric shock / as
(e) in / every year / people / this way / die ;
(f) can kill / even / of current / a small / amount
Answer:
(a) Rama’s mother sent him off to the temple after telling him it was his last chance.
(b) Kali took pity on him and appeared before him in her most awe inspiring form.
(c) Rama took one look at the frightening form and burst into laughter.
(d) As electric shock can kill.
(e) Every year people die in this way.
(f) Even a small amount of current can kill.

4. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the correct sentence in your answer sheet against the correct blank number. (1/2 x 6 = 3 Marks)
Gopal Bhar asked / so upset / he was / the minister / why Gopal Bhar asked the minister why he was so upset.
(a) The minister told / that the Nawab / had let / Gopal / task / him an impossible
(b) Then Gopal / to ask the Nawab / to give him / this difficult task / and one year / a million rupees / to complete / told the minister
(c) Gopal promised / after one year / that he would / with the results / the minister / go to the Nawab.
(d) themes / timeless / such / this / because / are / is /
(e) stories / a / all / have been / animal / favourite / groups / with / age /
(f) young / very / humanised / the / stories / animal / like /
Answer:
(a) The minister told Gopal that the Nawab had set him an impossible task.
(b) Then Gopal told the minister to ask the Nawab to give him a million rupees and one year to complete this difficult task.
(c) Gopal promised the minister that he would go to the Nawab after one year with the results.
(d) This is because such themes are timeless.
(e) Animal stories have beep, a favourite with all age groups.
(f) The young like very humanised animal stories.

MP Board Solutions

5. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the correct sehtences in your answer sheet against the correct blank numbers. (1/2 x 6 = 3 Marks)
Rama’s / advice / decided / mother / the Guru’s / to follow / and sent him / to pray / to the temple Rama’s mother decided to follow the Guru’s advice and sent him to the temple to pray.

(a) to obey / Rama decided / his mother / this time / very hard / for a long time, / and prayed
(b) about a week / Kali appeared / after / before him and / many heads / she looked awe-inspiring / with her / and hands
(c) of feeling frightened / saw her / instead / he burst / when Rama / into laughter
(d) became / Anna Sewell / and / an / lived / invalid / life / of / the / same as a child /
(e) “Black Beauty” / of / the / end / written / was / towards / life / her /
(f) to introduce / was / an / horse / of / aim / understanding treatment /
Answer:
(a) Rama decided to obey his mother this time and prayed very hard for a long time.
(b) After about a week Kali appeared before him and she looked aweinspiring with her many heads and hands.
(c) When Rama saw her instead of feeling frightened he burst into laughter.
(d) Anna Sewell became an invalid and lived the life same as a child.
(e) “Black Beauty “ was written towards the end of her life.
(f) Aim was to introduce horse of an understanding treatment.

6. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the correct sentence in your answer sheet against the correct blank numbers. (1/2 x 6 = 3 marks)
Rama’s / seriously / to the temple / to pray / spoke to him / mother / and sent him Rama’s mother spoke to him seriously and sent him to the temple to pray.

(a) this time / to heart / mother’s words / made / something / Rama / take his
(b) her glory / sincere prayers / Kali heard / and appeared / in all / Rama’s / before him
(c) unexpectedly, / instead of / laugh uncontrollably. / inspiring awe / made Rama / her form
(d) and see / I’ve made / come / what
(e) Please / a picture / fell me / you’ve made / who it is / oh I see
(f) this man / He lives / recognise / house / in our / can’t ! you \
Answer:
(a) Something made Rama take his mother’s words to heart this time.
(b) Kali heard Rama’s sincere prayers and appeared before him in all her glory.
(c) Unexpectedly, her form instead of inspiring awe made Rama, laugh uncontrollably.
(d) Come and see what I’ve made.
(e) Oh, I see, You’ve made a picture. Please tell me who it is.
(f) Can’t-you recognise this man. He lives in our house.

7. Look at the words and phrases below. Rearrange them to form meaningful sentences to complete the description given. The first one has been done as an example for you. Write the correct sentences in your answer sheet against the correct blank numbers. (3 marks)

Thomas Nuttall / a / successfully / botanist / studied / pioneer / of / N.W. America / the flora. Thomas Nuttal a pioneer botanist studied the flora of N.W. America successfully.

(a) in the world / he / least / the / successful / perhaps / however / explorer / was
(b) on his / almost / he spent / all / expeditions / his time / lost / permanently
(c) one night / to return / was / a search party / when / sent out / failed / he
(d) as / approached / the party / him / they / were / Indians / Nuttal / assumed
(e) tried / annoyed his / to escape / bush and river / he / over / rescuers
(f) he / wandered / the camp / into / accidentally / three days / finally / after
Answer:
(a) However he was perhaps the least successful explorer in the world.
(b) Permanently, he spe+ t all his time on his lost expeditions.
(c) One night when he failed to return a search party was sent out.
(d) As the party approached him Nuttal assumed they were IndiAnswer:
(e) He tried to escape over bush and river annoyed his rescuers.
(f) Finally after three days he wandered into the camp accidentally.

MP Board Solutions

8. Look at the words and phrases below. Rearrange them to form meaningful sentences. Write the correct sentences in your answer sheet against the correct blank number. The first one has been done as an example. (2 Marks)
spent / trying / years / to perfect / Elias Howe / a sewing machine. Elias Howe spent years trying to perfect a sewing machine.

(a) he / that / had been / by / captured / one night / a tribe / dreamed / he
(b) told / would have / he / he / to produce / was / in a day / the sewing machine
(c) speared / could not / if / he / would be / he / by / the tribe
(d) failed / when / the tribesmen / he / surrounded / with raised spears / him / that had / at fhe tips / holes
(e) suddenly / he / Howe / as / woke up / to / the / solution / saw / his / problem
(f) the hole / the tip / at / of / had / to work / the needle / to be / the machine / for
Answer:
(a) One night he dreamed that he had been captured by a tribe.
(b) He was told he would have to produce the sewing machine in a day.
(c) If he could not, he would be speared by the tribe.
(d) When he failed the tribesmen surrounded him with raised spears that had holes at the tips.
(e) As he woke up suddenly Howe saw the solution to his problem.
(f) The hole had to be at the tip of the needle for the machine to work.

9. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the correct sentence in your answer sheet against the correct blank number. (1/2 x 6 = 3 Marks)
Gopal Bhar / was / the matter / the minister / what / asked Gopal Bhar asked the minister what the matter was.
(a) The minister told / the Nawab’s / Gopal about / demands / im-possible
(b) Then Gopal / asked the minister / to give him / this difficult task / and one year / a million rupees / to finish / to request the Nawab
(c) Gopal promised / after one year / to the Nawab / himself / to go / with die results
(d) is heard / is dialled / when / the dial tone / required number / the
(e) at the other end / , / picked / when / into / the / the receiver / a / one rupee coin / is / is / dropped / slit / provided.
(f) go / the / can / on / conversation / three minutes / for
Answer:
(a) The minister told Gopal about the Nawqb’s impossible demands.
(b) Then Gopal asked the minister to request the Nawab to give him a million rupees and one year to finish this difficult task.
(c) Gopal promised to go to the Nawab himself with the results after one year.
(d) When the dial tone is heard the required number is dialled. ,
(e) When the receiver is picked at the other end, a one rupee coin is dropped into the slit provided.
(j) The conversation can go on for three minutes.

10. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done for you as an example. Write the correct answers in your answer sheet against the correct blank numbers. (1/2 x 6 = 3 Marks)
are / eating / birds / small / wagtails / insect Wagtails are small insect eating birds.
(a) to / are closely / they / related / pipits.
(b) needle like / bill / is / its / are / the / and / feet / with / developed / well / toes / long ?
(c) eight / of / wagtail / there / about / are / species
(d) shrunk / vast lands / father / explained / her / that / olive trees / family’s / one / the / had / to / to / square kilometre / of /
(e) his / slipped into / the driver / highway / the / blue truck / on / headed / and /
(f) his / swirling / moments / snow / was / within / around / vehicle /
Answer:
(a) They are closely related to pipits.
(b) Its / eef and toes are well developed with the bill long needle like,
(c) T / zere are about eight species of wagtails.
(d) Father explained to her that family’s vast lands of the olive trees had shrunk to one square kilometre.
(e) The driver slipped into his blue truck and headed on the highway,
(f) His vehicle was swirling around snow within moments.

11. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the correct sentences in your answer sheet against the correct blank number. (1/2 x 6 = 3 Marks)

retailer/ice-cream / to tell / the Swad / has a story The Swad ice-cream retailer has a story to tell.
(a) is a / ice-cream / that / tough business / selling / he feels
(b) now-a-days / in the market / there are just / selling / too many brands / ice-creams / of
(cl there were / varieties / just two or three / different / a decade ago / to choose from
(d) try / some people / a new brand / who / come back / again and again / for it
(e) it’s the King cones / hot cakes / sell like / that
(f) some brands / customers / favoured by / there are / which are not / however
Answer:
(a) He feels that selling ice-cream is a tough business.
(b) Now-a-days there are just too many brands of ice-creams selling market.
(c) A decade ago there were just two or three different varieties to choose from.
(d) Some people who try a new brand come back again and again for it.
(e) It’s the King cones that sell like hot cakes.
(f) However there are some brands which are not favored by customers.

MP Board Solutions

12. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the sentence in your answer sheet against the correct blank number. (1/2 x 6 = 3 Marks)

the / oil plight / Tanzanians / would / like / know / the / you / about / to. Would you like to know about the plight of the Tanzanians?
(a) Africa / in / Tanzanians / literacy rate / the / have / highest
(b) read / hardly / have / to A they / anything / but
(c) the / and / are / costs / soaring / paper / the / the / interest rates / reasons / of
(d) have / they / standstill / the / to / a / brought / publishing industry
(e) is heard / is dialled / when / the dial tone / required number / the
(f) at the other end / picked / when / into / the / the receiver / a / bne rupee coin / is / is / dropped / slit / provided.
Answer:
(a) In Africa, Tanzanians have the highest literacy rate.
(b) But they hardly have anything to read.
(c) The reasons are the soaring costs of the paper and the interest rates.
(d) They have brought the publishing industry to a standstill.
(e) When the dial tone is heard the required number is dialed.
(f) When the receiver is picked at the other end, a one rupee coin is dropped into the provided slot.

MP Board Class 9th English Solutions

MP Board Class 9th Special English Grammar Type I

MP Board Class 9th Special English Grammar Type I

A variety of short questions involving the use of particular structures within a context (i.e. not in isolated sentences) Test type used will include, for example, gap-filling, cloze (gap filling exercise with blanks at regular intervals) sentence completion, sentence-reordering, editing, dialogue. Completion and sentence transformation, Not all elements in the grammar syllabus can be included in the question paper every year.

However, questions will be distributed over the following three broad areas: verb forms, sentence structure and others.

1. The following paragraph has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the s correct blank number. Remember to underline the word you have supplied. (1/2 x 8 = 4 marks)

Lila’s favourite subject in school was maths. She enjoys e.g. enjoy …………… enjoyed
solving problems, and was enthusiastic
for new problems (a)
done in class. But a lot many of her
friends found maths (b)
extremely difficult, and until they
thought it was a (c)
difficult subject they saw no point to work at it. (d)
Maths was the very least popular
subject in class. (e)
Then Lila decided to help three of her friend. She was (f)
patient and good in explaining things.
Her friends realised (g)
that maths is easy if they paid attention. (h)
Answer:
(a) for ………………… about
(b) lot many ………………… lot
(c) until ………………… till
(d) at ………………… on
(e) very least ………………… least
(f) friend ………………… friends
(g) in ………………… at
(f) is ………………… was

MP Board Solutions

2. The following paragraph has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (4 marks)

The Band-Aid was invented in New Jersey. e.g. enjoy ………… invented
Dickson was fretted as his wife
Josephine, cut (a)
herself again and again on
working in the (b)
kitchen. One day while he
was wrapping his (c)
wound once again on a bulky
bandage of gauze (d)
and tape, he was struck by a idea.
He put some (e)
gauze on a strip of the medical
tape and a (f)
Band-Aid was born. Billion of cuts
and scrapes (g)
later the Band-Aid is celebrating
it’s 75th birthday. (h)
Answer:
(a) fretted ………………… fretting
(b) on ………………… while
(c) his ………………… her
(d) on ………………… with
(ie) a ………………… an
(f) a ………………… the
(g) Billion ………………… Billions
(h) it’s ………………… its

3. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have have supplied. (1/2 x 8 = 4 marks)

Longer before Newton. Aristotle and Galileo e.g. Longer ………… Long
have done a lot of research on the subject (a)
of gravity, Aristotle stating that a (b)
heavier object need fall to the Earth (c)
fastest than a lighter one. Legend has (d)
it that Galileo disproved those theories by (e)
throwing down objects with different weights (f)
from a Leaning tower of Pisa and (g)
proved that it took practically the (h)
same time to hit the ground.
Answer:
(a) have ……………….. had
(b) stating ……………….. stated
(c) need ……………….. needn’t
(d) fastest ……………….. fluster
(e) those ……………….. this
(f) with ……………….. Of
(g) a ……………….. the
(h) it ……………….. they

4. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word that you have supplied.

Tests and examination are not
confined to school alone, e.g. examination …………………….. examinations
They are widely used at various (a)
Government and non-Government
level, (b)
Business and industry to is
using tests, (c)
Tests are used of the selection of
candidates (d)
and in some case they are one of
the criteria of (e)
s’ction. The success of a doctor is
tested àt his skill (f)
in diagnosis and cure. If he pass
this test (g)
his patient are extremely happy
aboutit. (h)
Answer:
(a) use …………………….. used
(b) level …………………….. levels
(c) is …………………….. are
(d) of …………………….. for
(e) case …………………….. cases
(f) lat …………………….. by
(g) pass …………………….. passes
(h) patient …………………….. patients

MP Board Solutions

5. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied.

Mahatma Gandhi did not set out as evolve a e.g., as ……….. to
philosophy of life or formulate a system (a)
of beliefs or ideals. He had either the (b)
inclination nor the time for do so. (c)
He had, however, firm faith about truth (d)
and ahimsa and its practical application (e)
to life. They are said to be the (f)
constitute of his (g)
teachings and philosophies, (h)
Answer:
(a) of ………………………… for
(b) either ………………………… neither
(c) for ………………………… to
(d) about ………………………… in
(e) its ………………………… their
(f) They ………………………… These
(g) constitute ………………………… constituents
(h) philosophies ………………………… philosophy

6. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied.

More of the fun and excitement in your life comes e.g, More ………… Much
from use your senses. Senses open up a (a)
world who is full of sights, sounds, smells, (b)
tastes and dungs to touch. The
sharp your senses and the (c)
more you use it, more enjoyable each (d)
of this world’s become for you. (e)
For instant, a painter can see shades (f)
and shapes which little gifted (g)
people could not see. (h)
Answer:
(a) use ……………………… using
(c)the ……………………… that
(e) become ……………………… becomes
(g) little ……………………… less
(b) who ……………………… which
(d) i ……………………… them
(f) instant ……………………… instance
(h) could ……………………… can

7. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the cor¬rection in your answer sheet as given below against the correct blank number. Remember to underline the word your have supplied.

Ha’nophilia arc one of the several e.g., is ………… are
sex linked genetic disorders which effects (a)
only males. This is because the disorders is (b)
caused with a.defective gene of the
X-chromosome. (c)
As the result, blood does not dot and
there is a (d)
risk for heavy bleeding even from
minor cuts (e)
and ihjuries. The disease is not affect
females, (f)
becatbe, from the two X-chromosomes
if one has (g)
the defective gene, then the other
do produce (h)
enough clotting factor.
Answer:
(a) effects …………………………. affects
(b) disorders …………………………. disorder
(c) with …………………………. by
(d) the …………………………. a
(e) for …………………………. of
(f) is …………………………. does
(g) from …………………………. between
(h) do …………………………. an

MP Board Solutions

8. The following passage has not been edited. There is one error in each lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word that you have supplied. (½ x 8 = 4 Marks)

Even if Indians have a long history e.g. if ……… though
on them, they have a poor (a)
knowledge in maintaining homes, (b)
toilets, draperies on fridges. (c)
Modern detergents and soaps is (d)
very common in shelves, but (e)
people does not use them regularly, (j)
This cause the increase (g)
in a life of bacteria and viruses, (h)
Answer:
(a) on ……………………… behind
(b) in ……………………… about/of
(c) on ……………………… and
(d) is ……………………… are
(e) in ……………………… on
(f) does ……………………… do
(g) cause ……………………… causes
(h) a ……………………… the

9. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you supplied.

All life on earth can ultimately is e./g.. is ……… be
traced back on the sea. Creatures (a)
‘with limbs or fingers rather than (b)
Fins has evolved from fishes (c)
about 335 million years before, (d)
which remain a mystery. The new (e)
fossil find in a rock formation
near Scotland (j)
provides one of the few clues to
what has been (g)
happening on these 30 million years, (h)
Answer:
(a) on ………………………….. to
(b) or ………………………….. and
(c) has ………………………….. have
(d) before ………………………….. ago
(e) remain ………………………….. remains
(f) find ………………………….. found
(g) clue ………………………….. clues
(h) on ………………………….. over

10. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word your have supplied.

Life was not as it seems to be. e.g., was …….. is
It is full of- up and downs, (a)
The grass always looks greener on the other side. (b)
We have a habit to grumbling, (c)
We are ever satisfied, (d)
We make our lives misery (e)
by expecting too much from everyone, (f)
This is what we face disappointment, (g)
So never expect anything and be happy, (h)
Answer:
(a) up ………………………… ups
(b) look ………………………… looks
(c) to ………………………… of
(d) ever ………………………… never
(e) misery ………………………… miserable
(f) expect ………………………… expecting
(g) what ………………………… why
(h) nothing ………………………… anything

11. The following passage has not been edited. There is one error in each line. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (4 marks)
Ì’hanks to the current interest -for fitness e.g. for …………. in
and health that peoples are taking. (a)
In each locality, we find this da’s (b)
some centres and clubs is springing (c)
up and they are doing well in their (d)
new venture. But fortunately they (e)
are not within easy reach for all. (f)
Their fee are high and the centres (g)
suffer from lack in equipment and
many other essential services (h)
Answer:
(a) peoples ……………………. people
(b) this ……………………. these
(c) is ……………………. are
(d) do ……………………. doing
(e) fortunately ……………………. unfortunately
(f) all ……………………. many
(g) fee ……………………. fees
(h) in ……………………. of

MP Board Solutions

12. That following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (½ x 8 = 4 Marks)

Rama was the boy from Tenali. 1-. e.g. the ……… a
loves to play pranks and didn’t take (a)
nothing seriously. His mother didn’t (b)
know what to do on him. She was sure (c)
he could be unable to do well in life. (d)
She hear that there was a wise man (e)
at the village. She told an holy man (f)
she was fed up with her son. She ask (g)
him to din any sense into Rama. (h)
Ans.
(a) loves …………………… loved
(b) nothing …………………… anything
(c) on …………………… with
(d) could …………………… would
(e) hear had …………………… heard
(f)an …………………… the
(g) ask …………………… asked
(h) any …………………… some

13. The following paragraph has not been edited. There is one mistake in each lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank numbei. Remember to underline the word you have supplied.

Rama lived in a village of Tenali. He loved e.g. a ……….. the
to play pranks and was always jokes. He (a)
refused to study but take anything seriously, (b)
His mother didn’t not know what to do (c)
with him. She feel he never would be (d)
enable to make something of himself. (e)
One day she take him to see a guru. She (f)
told the guru that he had had enough (g)
of her son. She asked him to get the
sense into Rama. (h)
Answer:
(a) jokes …………………….. joking
(b) but …………………….. or
(c) didn’t …………………….. did
(d) feel …………………….. felt
(e) enable …………………….. able
(f) take …………………….. took
(g) he …………………….. she
(h) the …………………….. some

MP Board Solutions

14. The following passage has not been edited: There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (½ x 8 = 4 Marks)

Rama was a naughty boy that lived e.g. that ……… who
in the village of Tenali. Her mother (a)
did not know what to do at him (b)
since he refused to study or did any (c)
work One day she take him to see (d)
a guru. She told an holy man (e)
that she were washing her hands (f)
off her son since he should (g)
make something about him. (h)
Answer:
(a) Her ………………………. his
(b) at ………………………. with
(c) did ………………………. do
(d) take ………………………. took
(e) an ………………………. the
(f) were ………………………. was
(e) since ………………………. and
(h) about ………………………. of

15. The following paragraph has not been edited. Thre is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (4 marks)

One day, the Nawab sent to his e.g. to ………. for
minister and asking him to (a)
measure the length into (b)
breadth of an entire earth (c)
from end to end but side to (d)
side. He also wished that a (e)
minister shoüld count all the (f)
star in the sky. The minister (g)
felt the Nawab was being too unfair to him. (h)
Answer:
(a) asking ……………………. asked
(b) into ……………………. and
(a) an ……………………. the
(d) but ……………………. and
(e) a ……………………. the
(f) should ……………………. could
(g) star ……………………. stars
(h) felt ……………………. feels

16. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word that you

One moing, the Nawab call e.g. call …….. called
his minister and said to him (a)
that I wanted the length and (b)
breadth from the whole earth (c)
measured. He also to feel the (d)
need to have the stars in whole (e)
sky counted. The minister says (f)
that the task he have been (g)
set being impossible. (h)
Answer:
(a) said ……………………. told
(b) I ……………………. he
(c)from ……………………. of
(d) to ……………………. feel
(e) whole ……………………. the
(f) says ……………………. said
(g) have ……………………. had
(h) being ……………………. was

17. The ìillowing paragraph has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in ýour answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (½ x 8 = 4 Marks)

When our earth was cover with water,
all creatures had to e.g. cover ……… cyere
swim on it. When the water subsided
and land appeared (a)
the sea creatures crawled out and
learnt to breathe (b)
and walk on land. When there are not
enough plants left to (c)
eat, they learnt to hunt and kill for the
food. Things are still (d)
changing and if one want to survive,
you will have to change (e)
too. Look even Mumbai has changed.
Fifty years past there (f)
were hill, gardens, beautiful villas where
now you see shops, (g)
traffics, crowds and slums, (h)
Answer:
(a) on ……………………. in
(b) breathing ……………………. to breathe
(c) are ……………………. were
(d) the ……………………. their
(e) one ……………………. you
(f) past ……………………. ago
(g) hill ……………………. hills
(h) traffics, crowds ……………………. traffic, crowd

MP Board Solutions

18. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word that you have supplied. (1/2 x 8 = 4 Marks)

One day, the Nawab sent words e.g. words ……… word
to his minister that I wanted (a)
entire earth measured from (b)
side to side and of end to end. (c)
He would also great appreciate (d)
it, if the minister count the (e)
stars and the sky as well. The (f)
minister say it was impossible, (g)
no one will do such a thing. (h)
Answer:
(a) I …………………….. He
(b) a …………………….. the
(c) of …………………….. from
(d) great …………………….. greatly
(e) of …………………….. from
(f) great …………………….. greatly
(g) of …………………….. from
(h) great …………………….. greatly

MP Board Class 9th English Solutions

MP Board Class 9th Science Solutions Chapter 15 Improvement in Food Resources

MP Board Class 9th Science Solutions Chapter 15 Improvement in Food Resources

Improvement in Food Resources Intext Questions

Improvement in Food Resources Intext Questions Page No. 204

Question 1.
What do we get from cereals, pulses, fruits and vegetables?
Answer:
We get carbohydrates from cereals and proteins from pulses. Fruits and vegetables give us lots of vitamins and minerals.

Improvement in Food Resources Intext Questions Page No. 205

Question 1.
How do biotic and abiotic factors affect crop production?
Answer:
Biotic factors like pests, insects etc. reduce the crop production. Pests harm crops by feeding over them. Weeds also reduce crop productivity by competing with the main crop for nutrients and light. Abiotic factors like wind, rain, temperature etc. impact the overall crop production. For example, droughts and floods almost completely destroy the whole crop of a particular area.

MP Board Solutions

Question 2.
What are the desirable agronomic characteristics for crop improvements?
Answer:
The desirable agronomic characteristics for crop improvements are:

  1. Tallness and profuse branching in any fodder crop.
  2. Dwarf characteristics in cereals.

Improvement in Food Resources Intext Questions Page No. 206

Question 1.
What are macro – nutrients and why are they called macro – nutrients?
Answer:
Macro – nutrients are those nutrients which are required in large quantities for growth and development of plants. Since they are required in large quantities, they are known as macro – nutrients. The six macro – nutrients required by plants are nitrogen, phosphorus, potassium, calcium, magnesium and sulphur.

Question 2.
How do plants get nutrients?
Answer:
Plants consume nutrients from air, water and soil. Soil is one of the important sources of nutrients. Plants get thirteen nutrients from soil. The remaining three nutrients (carbon, oxygen, and hydrogen) are obtained from air and water.

Improvement in Food Resources Intext Questions Page No. 207

Question 1.
Compare the use of manure and fertilizers in maintaining soil fertility.
Answer:
Manures are biodegradable substances which increase soil fertility by enriching the soil with organic matter and nutrients as it is prepared by the decomposition of animal excreta and plant wastes.

On the other hand, fertilizers are mostly artificially developed inorganic compounds whose excessive use is harmful to ecosystems components and soil fertility. Hence, fertilizers are considered good only for short term use.

Improvement in Food Resources Intext Questions Page No. 208

Question 1.
Which of the following conditions will give the most benefits? Why?
(а) Farmers use high – quality seeds, do not adopt irrigation or use fertilizers.
(b) Farmers use ordinary seeds, adopt irrigation and use fertilizer.
(c) Farmers use quality seeds, adopt irrigation, use fertilizer and use crop protection measures.
Answer:
(c) Farmers using good quality seeds, adopting irrigation, using fertilizers and using crop protection measures will get most benefits.
Reasons are as follows:

  1. Increases the total crop production as good quality seeds, then a majority of the seeds will germinate properly, and will grow into a healthy plants.
  2. Proper irrigation will improve the water availability to crops.
  3. Fertilizers promote high growth and development in plants by providing the essential nutrients such as nitrogen, phosphorus, potassium etc.
  4. Crop protection measures include various methods to control weeds, pests and infectious agents.

Improvement in Food Resources Intext Questions Page No. 209

Question 1.
Why should preventive measures and biological control methods be preferred for protecting crops?
Answer:
Preventive measures and biological control methods should be preferred for protecting crops because excessive use of chemicals leads to environmental problems. Biological methods harm neither crops nor environment.

MP Board Solutions

Question 2.
What factors may be responsible for losses of grains during storage?
Answer:
Factors causing loss of grains during storage:

  1. Biotic Factors: Insects, rodents, fungi and bacteria etc.
  2. Abiotic Factors: moisture content and temperature etc.

Improvement in Food Resources Intext Questions Page No. 210

Question 1.
Which method is commonly used for improving cattle breeds and why?
Answer:
Cross breeding is commonly used for improving cattle breeds. Cross breeding between two good varieties of cattle will produce a new improved variety. For example, the cross between foreign breeds such as Jersey Brown, Swiss and Indian breeds such as Red Sindhi, Sahiwal produces a new variety having qualities of both breeds.

Improvement in Food Resources Intext Questions Page No. 211

Question 1.
Discuss the implications of the following statement: “It is interesting to note that poultry is India’s most efficient converter of low fibre food stuff (which is unfit for human consumption) into highly nutritious animal protein food.”
Answer:
Poultry in India is the most efficient converter of low fibre food stuff in nutritious animal protein food. In poultry farming, domestic fowls are raised to produce eggs and chicken. For this, the fowls are given animal feeds in the form of roughage, which mainly consists of fibres. Thus, by feeding animals a fibre rich diet, the poultry gives highly nutritious food in the form of eggs and chicken.

Question 2.
What management practices are common in dairy and poultry farming?
Answer:
Common management practices in dairy and poultry farming are:

  1. Proper shelter facilities and their regular cleaning.
  2. Some basic hygienic conditions such as clean water, nutritious food etc.
  3. Animals are kept in spacious, airy and ventilated place.
  4. Prevention and cure of diseases at the right time is ensured.

MP Board Solutions

Question 3.
What are the differences between broilers and layers and in their management?
Answer:
Layers are meant for egg production, whereas broilers are meant for poultry meat. Nutritional, environmental and housing conditions required by broilers are different from those required by egg layers. A broiler chicken, for their proper growth, requires vitamin rich supplements especially vitamin A and K. Also, their diet includes protein rich food and enough fat. They also require extra care and maintenance to increase their survival rate in comparison to egg layers.

Improvement in Food Resources Intext Questions Page No. 213

Question 1.
How are fish obtained?
Answer:
Fish can be obtained by two ways:

  1. Capture fishing: It is the process of obtaining fish from natural resources.
  2. Culture fishery: It is the practice of farming fishes. Farming can be done in both freshwater ecosystem (which includes river water, pond water) and marine ecosystem.

Question 2.
What are the advantages of composite fish culture?
Answer:
The advantages of composite fish culture are:

  1. Fish can be grown in crop fields especially paddy.
  2. Intensive fish farming is possible because plenty of water is available during crop seasons.
  3. In this system, both local and imported fish species can be cultivated.

Question 3.
What are the desirable characters of bee varieties suitable for honey production?
Answer:
Bee varieties having the following desirable characters are suitable for honey production:

  1. They should yield high quantity of honey.
  2. They should not sting much.
  3. They should stay in the beehive for long durations.
  4. They should breed very well.

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Question 4.
What is pasturage and how is it related to honey production?
Answer:
Pasturage is the availability of flowers from which bees collect nectar and pollen. It is related to the production of honey as it determines the taste and quantity of honey.

Improvement in Food Resources NCERT Textbook Exercises

Question 1.
Explain any one method of crop production which ensures high yield.
Answer:
Inter – cropping method ensures high yield of crop production. It is a practice of growing two or more crops simultaneously in the same field in rows. In inter – cropping, definite row patterns are followed such as one row of main crop is followed by two rows of inter – crop. In inter – cropping, there is a greater utilisation of the inter – spaced area, light, nutrients, water and air. As a result, productivity per unit area is increased.

Question 2.
Why are manures and fertilizers used in fields?
Answer:
Manures and fertilizers are used in fields to enrich the soil with the required nutrients. Manure helps in enriching the soil with organic matter and nutrients. This improves the fertility and structure of the soil. On the other hand, fertilizers ensure a healthy growth and development in plants. They are a good source of nitrogen, phosphorus and potassium. To get an optimum yield, it is instructed to use a balanced . combination of manures and fertilizers in the soil.

Question 3.
What are the advantages of inter-cropping and crop rotation?
Answer:
Inter – cropping and crop rotation, both are used to get maximum benefit on limited land. Inter – cropping helps in preventing pests and diseases to spread throughout the field. It also increases soil fertility, whereas crop rotation prevents soil depletion, increases soil fertility and reduces soil erosion. Both of these methods reduce the need for fertilizers. They also helps in controlling weeds and the growth of pathogens and pests in crops.

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Question 4.
What is genetic manipulation? How is it useful in agricultural practices?
Answer:
Genetic manipulation is a process where the gene for a particular character is introduced inside the chromosome of a cell. When the gene for a particular character is introduced in a plant cell, a transgenic plant is produced. These transgenic plants exhibit characters governed by the newly introduced gene.

Genetic manipulation is useful in developing varieties with higher yield, good quality, biotic and abiotic resistance, short maturity period, wider adaptability and desirable agronomic characteristics.

Question 5.
How do storage grain losses occur?
Answer:
There are many biotic and abiotic factors that harm stored grains and result in degradation, poor germinability, discolouration etc. which leads to storage grain losses. Biotic factors like insects or pests cause direct damage by feeding on seeds.

They also deteriorate and contaminate the grain, making it unfit for further consumption.  Abiotic factors such as temperature, light, moisture etc., also affect storage food. They decrease the germinating ability of the seeds and make them unfit for future use by farmers. Unpredictable occurrence of droughts and floods also causes destruction of crops.

Question 6.
How do good animal husbandry practices benefit farmers?
Answer:
Cattle farming is one of the methods of animal husbandry that is most beneficial for farmers. Better breeds of draught animals can be produced. Such draught animals are engaged in agricultural fields for labour such as carting, irrigation, tilling, etc.

Question 7.
What are the benefits of cattle farming?
Answer:
Benefits of cattle farming:

  1. Good quality and quantity of dairy products can be produced.
  2. Draught labour animals can be raised for agricultural work.
  3. New breed of animals that are resistant to diseases can be raised by crossing two breeds with the desired traits.

Question 8.
For increasing production, what is common in poultry, fisheries and bee – keeping?
Answer:
Proper management techniques are the common factors for increasing production in poultry, fisheries and bee keeping. Regular cleaning of farms is of importance. Also, maintenance of temperature and prevention and cure of diseases in farming is also required to increase the growth of animals.

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Question 9.
How do you differentiate between capture fishing, mariculture and aquaculture?
Answer:

  1. Capture fishing is the method to obtain fishes from natural resources like rivers, ponds, waterfalls etc.
  2. Mariculture is the culture of marine fishes for commercial use.
  3. Aquaculture involves the production of aquatic animals that are of high economic value such as prawns, lobsters, fishes, crabs etc.

Improvement in Food Resources Additional Questions

Improvement in Food Resources Multiple Choice Questions

Question 1.
Which one is an oil yielding plant among the following?
(a) Lentil
(b) Sunflower
(c) Cauliflower
(d) Hibiscus.
Answer:
(b) Sunflower

Question 2.
Which one is not a source of carbohydrate?
(a) Rice
(b) Millets
(c) Sorghum
(d) Gram.
Answer:
(d) Gram.

Question 3.
Find out the wrong statement from the following:
(a) White revolution is meant for increase in milk production.
(b) Blue revolution is meant for increase in fish production.
(c) Increasing food production without compromising with environmental quality is called as sustainable agriculture.
(d) None of the above.
Answer:
(d) None of the above.

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Question 4.
To solve the food problem of the country, which among the following is necessary?
(a) Increased production and storage of food grains.
(b) Easy access of people to the food grain.
(c) People should have money to purchase the grains.
(d) All of the above.
Answer:
(d) All of the above.

Question 5.
Find out the correct sentence.
(i) Hybridisation means crossing between genetically dissimilar plants.
(ii) Cross between two varieties is called as inter specific hybridisation.
(iii) Introducing genes of desired character into a plant gives genetically modified crop.
(iv) Cross between plants of two species is called as inter varietal hybridisation.
(a) (i) and (ii)
(b) (ii) and (iv)
(c) (ii) and (iii)
(d) (iii) and (iv).
Answer:
(a) (i) and (ii)

Question 6.
Weeds affect the crop plants by
(a) killing of plants in field before they grow.
(b) dominating the plants to grow.
(c) competing for various resources of crops (plants) causing low availability of nutrients.
(d) all of the above.
Answer:
(c) competing for various resources of crops (plants) causing low availability of nutrients.

Question 7.
Which one of the following species of honey bee is an Italian species?
(a) Apis dorsata
(b) Apis florae
(c) Apis cerana indica
(d) Apis mellifera.
Answer:
(d) Apis mellifera.

Question 8.
Find out the correct sentence about manure
(ii) Manure contains large quantities of organic matter and small quantities of nutrients.
(ii) It increases the water holding capacity of sandy soil.
(iii) It helps in draining out of excess of water from clayey soil.
(iv) Its excessive use pollutes environment because it is made of animal excretory waste.
(a) (i) and (iii)
(b) (i) and (ii)
(c) (ii) and (iii)
(d) (iii) and (iv).
Answer:
(b) (i) and (ii)

Question 9.
Cattle husbandry is done for the following purposes:
(i) Milk production
(ii) Agricultural work
(iii) Meat production
(iv) Egg production.
(a) (i), (ii) and (iii)
(b) (ii), (iii) and (iv)
(c) (iii) and (iv)
(d) (i) and (iv).
Answer:
(a) (i), (ii) and (iii)

MP Board Solutions

Question 10.
Which of the following are Indian cattle?
(i) Bos indicus
(ii) Bos domestica
(iii) Bos bubalis
(iv) Bos vulgaris.
(a) (i) and (iii)
(b) (i) and (ii)
(c) (ii) and (iii)
(d) (iii) and (iv).
Answer:
(a) (i) and (iii)

Question 11.
Which of the following are exotic breeds?
(i) Brawn
(ii) Jersey
(iii) Brown Swiss
(iv) Jersey Swiss.
(a) (i) and (iii)
(b) (ii) and (iii)
(c) (i) and (iv)
(d) (ii) and (iv).
Answer:
(b) (ii) and (iii)

Question 12.
Poultry farming is undertaken to raise the following:
(a) Egg production
(b) Feather production
(c) Chicken meat
(d) Milk production.
Answer:
(a) Egg production

Question 13.
Poultry fowl are susceptible to the following pathogens:
(a) Viruses
(b) Bacteria
(c) Fungi
(d) All of the above.
Answer:
(d) All of the above.

Question 14.
Which one of the following fishes is a surface feeder?
(a) Rohus
(b) Mrigals
(c) Common carps
(d) Catlas.
Answer:
(d) Catlas.

Question 15.
Animal husbandry is the scientific management of ___________ .
(i) animal breeding
(ii) culture of animals
(iii) animal livestock
(iv) rearing of animals
(a) (i), (ii) and (iii)
(b) (ii), (iii) and (iv)
(c) (i), (ii) and (iv)
(d) (i), (iii) and (iv).
Answer:
(d) (i), (iii) and (iv).

Improvement in Food Resources Very Short Answer Type Questions

Question 1.
Match the column A with the column B
MP Board Class 9th Science Solutions Chapter 15 Improvement in Food Resources 1
Answer:
(a) (ii)
(b) (iii)
(c) (i)
(d) (iv).

Question 2.
Fill in the blanks.

  1. Pigeon pea is a good source of ___________ .
  2. Berseem is an important ___________ crop.
  3. The crops which are grown in rainy season are called ___________ crops.
  4. ___________ are rich in vitamins.
  5. ___________ crop grows in winter season.

Answer:

  1. protein
  2. fodder
  3. Kharif
  4. vegetables
  5. Rabi.

Question 3.
State any one importance of photoperiod in agriculture.
Answer:
Photoperiod is important for growth of plants and flowering.

MP Board Solutions

Question 4.
What are desirable traits for fodder crop?
Answer:

  1. Profused branching.
  2. Tall Plants.

Question 5.
White revolution in India has made us self – sufficient in a product. Name it.
Answer:
Milk.

Improvement in Food Resources Short Answer Type Questions

Question 1.
What is a GM crop? Name any one such crop which is grown in India.
Answer:
Crop developed artificially with the help of modern biotechnology to obtain the desired character is called as genetically modified(GM) crop. But, cotton and egg plant are examples of GM crops which are resistant to many harming biological factors.

Question 2.
List out some useful traits in improved crop.
Answer:
Useful traits in improved crops are as follows:

  1. better yield.
  2. improved quality.
  3. resistance to biotic and abiotic factors.
  4. better adaptability.
  5. better economically.

Question 3.
Why is organic matter important for crop production?
Answer:
Organic matter is important for crops because a fertile and healthy soil is the basis for healthy plant’s growth and soil organic matter works as a foundation for healthy and productive soils.
It helps soil by:

  1. improving soil structure.
  2. increasing water holding capacity of soil.
  3. drainage and in avoiding water logging.
  4. giving shelter to number of animals which also improve soil’s nutrients value.

Question 4.
Why is excessive use of fertilizers detrimental for environment?
Answer:
Excessive use of fertilizers is harmful because it is artificial in origin and accumulate in biological cycle and disturb its balance which causes environmental pollution as their residual and unused amounts will become pollutants for air, water and soil.

Question 5.
Give one word for the following:

  1. Farming without the use of chemicals as fertilizers, herbicides and pesticides is known as ___________ .
  2. Growing of wheat and groundnut on the same field is called as ___________ .
  3. Planting soyabean and maize in alternate rows in the same field is called as ___________ .
  4. Growing different crops on a piece of land in preplanned succession is known as ___________ .
  5. Xanthium and Parthenium are commonly known as ___________ .
  6. Causal organism of any disease is called as

Answer:

  1. organic farming
  2. mixed farming
  3. inter – cropping
  4. crop rotation
  5. weeds
  6. pathogens

Question 6.
Match the following A and B:

(A) (B)
(a) Cattle used for tilling and carting (i) Milk producing female
(b) Indian breed of chicken (ii) Broiler
(c) Sahiwal, Red Sindhi (iii) Draught animals
(d) Milch (iv) Local breed of cattle
(e) Chicken better fed for obtaining (v) Aseel

Answer:
(a) (iii)
(b) (v)
(c) (iv)
(d) (i)
(e) (ii).

Question 7.
Define the term hybridization and photoperiod.
Answer:

  1. Hybridization: Hybridization is the process in which two genetically different individuals are crossed to result generally into an individual with a desired trait.
  2. Photoperiod: Photoperiod in plants is defined as the developmental responses towards the comparative lengths of light and dark periods in its region.

Question 8.
Fill in the blanks:

  1. Photoperiod affects the ___________ .
  2. Kharif crops are cultivated from ___________ to ___________ .
  3. Rabi crops are cultivated from ___________ to ___________ .
  4. Paddy, maize, green gram and black gram are ___________ crops.
  5. Wheat, gram, pea, mustard are ___________ crops.

Answer:

  1. flowering
  2. June to October
  3. November to March,
  4. Kharif
  5. Rabi

Question 9.
Cultivation practices and crop yield are related to environmental condition. Yes/No? Give reasons.
Answer:
Environmental conditions are the components which influence plant growth and genetic factors. Environmental factors include everything in our surrounding i.e. air, water, temperature, atmospheric pressure, surrounding gases etc. When we cultivate any plant or consider crop growth, we check all the above environmental factors before sowing. Hence yes, cultivation practices and crop yield are related to environmental condition.

MP Board Solutions

Question 10.
Fill in the blanks:

  1. A total of ___________ nutrients are essential to plants.
  2. ___________ and ___________ are supplied by air to plants.
  3. ___________ is supplied by water to plants.
  4. Soil supplies ___________ nutrients to plants.
  5. nutrients are required in large quantity and called as ___________ .
  6. nutrients are needed in small quantity for plants and are called ___________ .

Answer:

  1. sixteen
  2. Oxygen and carbon
  3. Hydrogen
  4. thirteen
  5. Six, macro – nutrients
  6. Seven, micronutrients

Improvement in Food Resources Long Answer Type Questions

Question 1.
Define:

  1. Vermicompost
  2. Green manure
  3. Bio fertilizer.

Answer:

  1. Vermicompost: Vermicomposting is the process in which worms and micro – organisms are used to turn organic waste into a black, earthy – smelling, nutrient – rich humus.
  2. Green manure: When crop or plant that is grown and then intentionally plowed under to improve the underlying soil, it is called green manure.
  3. Bio fertilizer: Fertilizer created from biological components as small plants.

Question 2.
Discuss various methods for weed control.
Answer:
Unwanted plants which grow along with crops are called weeds. They compete with the crop plants for light, water, space and minerals, and harm their growth and yield. Some of them produce poisonous substances which can harm the growth of the crop or poison the produce.

Removing weeds from a field is called weeding. It can be done Manually or by using an implement like a trowel, hoe or rake. A third way of getting rid of weeds is by spraying chemicals called weedicides. These chemicals destroy the weeds but not the crop plants.

Improvement in Food Resources Higher Order Thinking Skills (HOTS)

Question 1.
Why should our food contain cereals, pulses, fruits and vegetables?
Answer:

  1. Cereals provide carbohydrates for energy requirements.
  2. Pulses give proteins.
  3. Fruits and vegetables provide various vitamins and minerals.

MP Board Solutions

Question 2.
Why moisture level of food grains should be checked before their storage?
Answer:
Before storage, moisture level of food grains should not be more than 9% otherwise growth of micro – organisms (bacteria and fungi) will take place causing either discolouration or complete spoilage of food grains.

Improvement in Food Resources Value Based Questions

Question 1.
A group of Eco Club students made a compost pit in the school. They collected all bio – degradable waste from the school canteen and used it to prepare the compost

  1. Name two waste that can be used for the compost and two wastes obtained from canteen which cannot be used for the compost making.
  2. What is the other important compound required for making the compost?
  3. State the values of Eco Club students.

Answer:

  1. Two waste used for compost are vegetable peels, fruit peels and pulps. Two waste materials that cannot be used as compost are pickels and curd.
  2. Bacteria present in soil are used as component for making compost.
  3. Eco club students reflect the value of group workers and responsible citizens.

MP Board Solutions

Question 2.
In a poultry farm, large number of birds died. Farm owner was unable to identify the reason and thought someone has done it intentionally. Aryan living nearby his farm noticed that the conditions in the farm were very unhygienic and poor ventilation was there.

  1. What do you think can be the reason for these deaths?
  2. What measures can be followed to prevent this in future?
  3. What values are shown by Aryan?

Answer:

  1. The conditions of the farm were unhygienic and ventilation was also poor. These may be the possible reasons.
  2. These conditions should be improved. Proper food, hygiene practices and good ventilation should be there to prevent this.
  3. The values of awareness and carefullness are shown by Aryan.

MP Board Class 9th Science Solutions