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RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2

May 10, 2019 by Fazal 2 Comments

RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 is part of RBSE Solutions for Class 12 Maths. Here we have given Rajasthan Board RBSE Class 12 Maths 7 अवकलन Exercise 7.2.

Rajasthan Board RBSE Class 12 Maths Chapter 7 अवकलन Ex 7.2

प्रश्न 1.
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 1
हल :
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 2
x = sin θ रखने पर,
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 3
x के सापेक्ष अवकलन करने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 4
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 5

(b) sin-1 (3 – 4x3)
माना कि y = sin-1 (3x – 4x3)
x = sin θ रखने पर,
या θ = sin-1x
y = sin-1 (3 sin θ – 4 sin θ)
= sin-1 (sin 3θ)
(∴ sin 3x = 3 sin x – 4 sin x)
= 3θ = 3 sin-1x
x के सापेक्ष अवकलन करने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 6

प्रश्न 2.
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 7
हल :
(a) माना कि
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 8
x = tan θ रखने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 9
x के सापेक्ष अवकलन करने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 10
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 11

(b) माना कि
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 12
x = tan θ रखने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 13
x के सापेक्ष अवकलन करने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 14

प्रश्न 3.
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 15
(संकेत : x = cosθ)
हल :
(a) माना कि y = cos-1 (4x3 – 3x)
x = cos θ रखने पर,
∴ y = cos-1 (4 cos3 θ – 3 cos θ)
= cos-1 (cos 38)
= 3θ
= 3 cos-1 x
x के सापेक्ष अवकलन करने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 16

(b) माना कि
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 17
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 18
x के सापेक्ष अवकलन करने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 19

प्रश्न 4.
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 20
हल :
(a) माना कि
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 21
x = cos θ रखने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 22
x के सापेक्ष अवकलन करने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 23

(b) माना कि
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 24
x = tan θ रखने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 25
x के सापेक्ष अवकलन करने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 26

प्रश्न 5.
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 27
(संकेत : 2x = cosθ)
हल :
(a) माना कि
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 28
x के सापेक्ष अवकलन करने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 29

(b) माना कि
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 30
2x = cos θ रखने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 31
x के सापेक्ष अवकलन करने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 32
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 33

प्रश्न 6.
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 34
हल :
(a) माना कि
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 35
x के सापेक्ष अवकलन करने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 36

(b) माना कि
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 37
x के सापेक्ष अवकलन करने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 38

प्रश्न 7.
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 39
हल :
(a) माना कि
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 40
x के सापेक्ष अवकलन करने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 41

(b) माना कि
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 42
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 43
x के सापेक्ष अवकलन करने पर
RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 44

We hope the given RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2 will help you. If you have any query regarding RBSE Solutions for Class 12 Maths Chapter 7 अवकलन Ex 7.2, drop a comment below and we will get back to you at the earliest.

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