Please refer to MCQ Questions Chapter 2 Inverse Trigonometric Functions Class 12 Mathematics with answers provided below. These multiple-choice questions have been developed based on the latest NCERT book for class 12 Mathematics issued for the current academic year. We have provided MCQ Questions for Class 12 Mathematics for all chapters on our website. Students should learn the objective based questions for Chapter 2 Inverse Trigonometric Functions in Class 12 Mathematics provided below to get more marks in exams.

**Chapter 2 Inverse Trigonometric Functions MCQ Questions**

Please refer to the following **Chapter 2 Inverse Trigonometric Functions MCQ Questions Class 12 Mathematics** with solutions for all important topics in the chapter.

**MCQ Questions Answers for Chapter 2 Inverse Trigonometric Functions Class 12 Mathematics**

**Question.** Which of the following is the principal value branch of cos^{-1} x?

**Answer**

C

**Question.**

(a) 0

(b) a/2

(c) a

(d) 2a/1- a^{2}

**Answer**

d

**Question.****The domain of the function defined by**

(a) [1, 2]

(b) [-1,1]

(c) [0, 1]

(d) None of these

**Answer**

A

**Question.**

(a) 1/5

(b) 2/5

(c) 0

(d) 1

**Answer**

B

**Question.****Which of the following is the principal value branch of cosec ^{-1}x ?**

**Answer**

D

**Question.**

(a) π/6

(b) 5π/6

(c) 7π/6

(d) 1

**Answer**

B

**Question.**

(a) π/5

(b) 2π/5

(c) 3π/5

(d) π

**Answer**

A

**Question.** The value of sin[2tan** ^{-1}** (0.75)] is

(a) 0.75

(b)1.5

(c) 0.96

(d) sin1.5

**Answer**

C

** Question. If 3tan^{-1} x + cot^{-1} x = p, then x equals to**(a) 0

(b) 1

(c) -1

(d) 1/2

**Answer**

B

**Question.**

(a) 3π/5

(b) -7π/5

(c) π/10

(d) -π/10

**Answer**

D

**Question.****The domain of the function cos ^{-1}(2x – 1) is**(a) [0, 1]

(b) [-1, 1]

(c) (-1,1)

(d) [0, p]

**Answer**

A

**Question.**

(a) π/2

(b) 3π/2

(c) 5π/2

(d) 7π/2p

**Answer**

A

**Question.**

(a) 25/24

(b) 25/7

(c) 24/25

(d) 7/24

**Answer.**

D

**Question. If cos-1 α + cos-1 β + cos-1 y = 3π, then α (β + y) + β (y + α) + y (α + β) Equals to**

(a) 0

(b) 1

(c) 6

(d) 12

**Answer**

C

**Question.** The number of real solutions of the equation

(a) 0

(b) 1

(c) 2

(d) ∞

**Answer**

A

**Question.**

**Answer**

B

**Question.**

(a) 4 tan^{-1} x

(b) 0

(c) π/2

(d) π

**Answer**

A

**Question.** If cos^{-1} x > sin^{-1} x, then

**Answer**

C

**True/False**

**Question.** The domain of trigonometric functions can be restricted to any one of their branch (not necessarily principal value) in order to obtain their inverse functions.

**Answer**

True

**Question.** The value of the expression (cos^{-1} x)^{2} is equal to sec^{2} x.

**Answer**

False

**Question.**

**Answer**

True

**Question.** The graph of inverse trigonometric function can be obtained from the graph of their corresponding function by interchanging X and Y-axes.

**Answer**

True

**Question.** The least numerical value, either positive or negative of angle θ is called principal value of the inverse trigonometric function.

**Answer**

True

**Question.** All trigonometric functions have inverse over their respective domains.

**Answer**

False

**Question.****The minimum value of n for which tan**

**Answer**

False