## NCERT Solutions for Class 12 Maths Chapter 2 MCQ’s with Answers Inverse Trigonometric Functions

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## NCERT **Maths MCQs for Class 12 Question and Answers Chapter 2 Inverse Trigonometric Functions PDF**

### Q1. The domain of the function^ = sin’ -‘(V) is

(a) [0, 1]

(b) (0, 1)

(c) [-1, 1]

(d) Φ

Option c – [-1, 1]

### Q2. The value of tan²(sec-12) + cot2(cosec-13) is

(a) 5

(b) 11

(c) 13

(d) 15

Option b – 11

### Q3. What is the domain of the function sin-1 x?

Option -1 ≤ x ≤ 1 or [-1, 1] –

### Q4. If sin-1(x2 – 7x + 12) = nπ, ∀ n ∈ I, then x =

(a) -2

(b) 4

(c) -3

(d) 5

Option b – 4

### Q5. If 6sin-1 (x2 – 6x + 8.5) = π, then x is equal to

(a) 1

(b) 2

(c) 3

(d) 8

Option b – 2

### Q6. The value of sin (2tan-1 (0.75)) is equal to

(a) 0.75

(b) 1.5

(c) 0.96

(d) sin 1.5

Option c – 0.96

### Q7. Simplified form of cos-1 (4×3 – 3x)

(a) 3 sin-1x

(b) 3 cos-1x

(c) π – 3 sin-1x

(d) None of these

Option b – 3 cos-1x

### Q8. The value of x for which sin |cot-1(1 – x)| = cos (tan-1 x) is

(a)2/1

(b) 1

(c) 0

(d)1/2

Option d – 1/2

### Q9. Which of the following is the principal value branch of cos-1 x?

(a) [0, 1]

(b) (π, 0)

(c) (0, π)

(d) (1, 0)

Option c – (0, π)

### Q10. If 3 tan-1 x + cot-1 x = π, then x equals

(a) 0

(b) 1

(c) -1

(d) 1/2

Option b – 1

### Q11. If cos-1 α + cos-1 β + cos-1 γ = 3π, then α(β + γ) + β (γ + α) + γ(α + β) equals

(a) 0

(b) 1

(c) 6

(d) 12

Option c – 6

### Q12. If 6 sin-1 (x² – 6x + 8.5) = π, then x is equal to

(a) 1

(b) 2

(c) 3

(d) 8

Option b – 2

We hope that the given** NCERT MCQ** **Questions for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions** **Free Pdf download** will help you in gaining knowledge on the subject.