Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Inverse Trigonometric Functions MCQs Pdf with Answers to know their preparation level. https://www.cbselabs.com/maths-mcqs-for-class-12-with-answers-chapter-2/

## Inverse Trigonometric Functions Class 12 Maths MCQs Pdf

Inverse Trigonometric Functions Class 12 MCQ Question 1.
Solve for x : {xcos(cot-1 x) + sin(cot-1 x)}2 = $$\frac{51}{50}$$
(a) $$\frac{1}{\sqrt{2}}$$
(b) $$\frac{1}{5 \sqrt{2}}$$
(c) 2√2
(d) 5√2
(b) $$\frac{1}{5 \sqrt{2}}$$

Inverse Trigonometry Class 12 MCQ Question 2. (c) tan-1(15)

MCQ Of Inverse Trigonometry Class 12 Question 3. (b) $$\sqrt{\frac{3}{76}}$$

Inverse Trigonometric Functions MCQ Question 4. (d) $$\frac{\pi}{4}$$

Class 12 Maths Chapter 2 MCQ Question 5.
If sin-1(x2 – 7x + 12) = nπ, ∀ n ∈ I, then x =
(a) -2
(b) 4
(c) -3
(d) 5
(b) 4

MCQ On Inverse Trigonometric Functions Question 6.
If cos-1 x + sin-1 x = π, then the value of x is
(a) $$\frac{3}{2}$$
(b) $$\frac{1}{\sqrt{2}}$$
(c) $$\frac{\sqrt{3}}{2}$$
(d) $$\frac{2}{\sqrt{3}}$$
(c) $$\frac{\sqrt{3}}{2}$$

MCQ On Inverse Trigonometric Functions Class 12 Question 7.
If sin-1 x – cos-1 x = $$\frac{\pi}{6}$$, then x =
(a) $$\frac{1}{2}$$
(b) $$\frac{\sqrt{3}}{2}$$
(c) $$-\frac{1}{2}$$
(d) $$-\frac{\sqrt{3}}{2}$$
(b) $$\frac{\sqrt{3}}{2}$$

Inverse Trigonometry MCQs Question 8.
If tan-1 (cot θ) = 2θ, then θ is equal to
(a) $$\frac{\pi}{3}$$
(b) $$\frac{\pi}{4}$$
(c) $$\frac{\pi}{6}$$
(d) None of these
(c) $$\frac{\pi}{6}$$

MCQ Inverse Trigonometry Class 12 Question 9.
cot($$\frac{\pi}{4}$$ – 2cot-1 3) =
(a) 7
(b) 6
(c) 5
(d) None of these
(a) 7

Inverse Trigonometry MCQ Question 10.
If tan-1 3 + tan-1 x = tan-1 8, then x =
(a) 5
(b) $$\frac{1}{5}$$
(c) $$\frac{5}{14}$$
(d) $$\frac{14}{5}$$
(b) $$\frac{1}{5}$$

Question 11. (d) $$-\frac{\pi}{6}$$

Question 12. (b) $$\frac{\pi}{3}$$

Question 13. (b) $$\frac{\pi}{3}$$

Inverse Trigonometric Functions Class 12 MCQ With Solutions Question 14. (a) $$\frac{\pi}{4}$$

Class 12 Inverse Trigonometry MCQ Question 15. (b) $$\frac{3 \pi}{4}$$

Chapter 2 Maths Class 12 MCQ Question 16. (d) $$\frac{2 \pi}{3}$$

Inverse Trigonometric Functions MCQ Pdf Question 17. (a) $$\tan ^{2}\left(\frac{\alpha}{2}\right)$$

MCQ On Inverse Trigonometry Class 12 Question 18. (b) $$\frac{6}{17}$$

Inverse Trigonometry MCQ Class 12 Question 19.
If tan-1 (x – 1) + tan-1 x + tan-1 (x + 1) = tan-1 3x, then the values of x are
(a) $$\pm \frac{1}{2}$$
(b) 0, $$\frac{1}{2}$$
(c) 0, $$-\frac{1}{2}$$
(d) 0, $$\pm \frac{1}{2}$$
(d) 0, $$\pm \frac{1}{2}$$

MCQ Of Chapter 2 Maths Class 12 Question 20.
If 6sin-1 (x2 – 6x + 8.5) = π, then x is equal to
(a) 1
(b) 2
(c) 3
(d) 8
(b) 2

Question 21. (d) $$-\frac{24}{25}$$

Question 22.
sin-1 (1 – x) – 2sin-1 x = $$\frac{\pi}{2}$$
(a) 0
(b) 1/2
(c) 0, 1/2
(d) -1/2
(a) 0

Question 23.
2tan-1(cos x) = tan-1(2cosec x)
(a) 0
(b) π/3
(c) π/4
(d) π/2
(c) π/4

Question 24. (a) $$\sqrt{\frac{x^{2}+1}{x^{2}+2}}$$

Question 25. (a) $$\frac{3 \pi}{5}$$

Question 26.
The domain of the function defind by f(x) = $$\sin ^{-1} \sqrt{x-1}$$ is
(a) [1, 2]
(b) [-1, 1]
(c) [0, 1]
(d) none of these
(a) [1, 2]

Question 27.
The value of sin (2tan-1 (0.75)) is equal to
(a) 0.75
(b) 1.5
(c) 0.96
(d) sin 1.5
(c) 0.96

Question 28.
The value of expression 2 sec-1 2 + sin-1($$\frac{1}{2}$$)
(a) $$\frac{\pi}{6}$$
(b) $$\frac{5 \pi}{6}$$
(c) $$\frac{7 \pi}{6}$$
(d) 1
(b) $$\frac{5 \pi}{6}$$

Question 29. (c) $$\frac{24}{25}$$

Question 30.
The value of the expression $$\tan \left(\frac{1}{2} \cos ^{-1} \frac{2}{\sqrt{3}}\right)$$
(a) 2 + √5
(b) √5 – 2
(c) $$\frac{\sqrt{5}+2}{2}$$
(d) 5 + √2
(b) √5 – 2

Question 31. (a) $$\frac{6}{17}$$

Question 32. (d) none of these

Question 33. (b) 0

Question 34. (d) $$\frac{1}{\sqrt{2}} \leq x \leq 1$$

Question 35.
cos-1[cos(2cot-1(√2 – 1))] = ______
(a) √2 – 1
(b) 1 + √2
(c) $$\frac{\pi}{4}$$
(d) $$\frac{3 \pi}{4}$$
(d) $$\frac{3 \pi}{4}$$

Question 36.
The range of sin-1 x + cos-1 x + tan-1 x is
(a) [0, π]
(b) $$\left[\frac{\pi}{4}, \frac{3 \pi}{4}\right]$$
(c) (0, π)
(d) $$\left[0, \frac{\pi}{2}\right]$$
(b) $$\left[\frac{\pi}{4}, \frac{3 \pi}{4}\right]$$

Question 37. (c) $$\frac{\pi}{4}$$

Question 38.
Find the value of sec2 (tan-1 2) + cosec2 (cot-1 3)
(a) 12
(b) 5
(c) 15
(d) 9
(c) 15

Question 39. (d) $$\frac{2}{x}$$

Question 40.
The equation sin-1 x – cos-1 x = cos-1($$\frac{\sqrt{3}}{2}$$) has
(a) unique solution
(b) no solution
(c) infinitely many solution
(d) none of these
(a) unique solution

Question 41.
3 tan-1 a is equal to (d) $$\tan ^{-1}\left(\frac{3 a-a^{3}}{1-3 a^{2}}\right)$$

Question 42. (d) $$\frac{1}{5}$$

Question 43.
The equation 2cos-1 x + sin-1 x = $$\frac{11 \pi}{6}$$ has
(a) no solution
(b) only one solution
(c) two solutions
(d) three solutions
(a) no solution

Question 44. (d) x

Question 45.
If tan-1 2x + tan-1 3x = $$\frac{\pi}{4}$$, then x is
(a) $$\frac{1}{6}$$
(b) 1
(c) ($$\frac{1}{6}$$, -1)
(d) none of these
(a) $$\frac{1}{6}$$

Question 46. (c) $$\sqrt{\frac{x^{2}+1}{x^{2}+2}}$$

Question 47. (a) $$\sqrt{a b}$$

Question 48.
If tan-1 x – tan-1 y = tan-1 A, then A is equal to
(a) x – y
(b) x + y
(c) $$\frac{x-y}{1+x y}$$
(d) $$\frac{x+y}{1-x y}$$
(c) $$\frac{x-y}{1+x y}$$

Question 49. (c) $$\pm \sqrt{\frac{5}{2}}$$
The value of cot-1 9 + cosec-1($$\frac{\sqrt{41}}{4}$$) is given by
(b) $$\frac{\pi}{4}$$
(d) $$\frac{\pi}{2}$$
(b) $$\frac{\pi}{4}$$