Inverse Trigonometric Functions MCQ for ISC Class-12 Maths of Sem-1

Inverse Trigonometric Functions MCQ Type Questions for ISC Class-12 Maths of Sem-1 . These MCQ / Objective Type Questions is based on latest reduced syllabus according 2021-22 session on bifurcated pattern. Main motto of MCQ Type Question is cracking the next upcoming exam of council. Visit official website CISCE for detail information about ISC Board Class-12 Physics.

ISC Class-12 Maths of Sem-1 Inverse Trigonometric Functions MCQ Type Questions

Board	ISC
Class	12th (XII)
Subject	Maths
Ch-Name	Inverse Trigonometric Functions
Syllabus	on bifurcated syllabus (after reduction)
Bifurcated pattern	Semester-1
Session	2021-22
Topic	MCQ / Objective Type Question

ISC Class-12 Maths Inverse Trigonometric Functions MCQ Type Questions of Sem-1

Question 1.
Solve for x : {xcos(cot^-1 x) + sin(cot^-1 x)}² = 51/50
(a) 1/√2
(b) 1/5√2
(c) 2√2
(d) 5√2
Answer:
(b) 1/5√2
Question-2.
If sin^-1(x² – 7x + 12) = nπ, ∀ n ∈ I, then x =
(a) -2
(b) 4
(c) -3
(d) 5
Answer:
(b) 4

Question 3.
If cos^-1 x + sin^-1 x = π, then the value of x is
(a) 3/2
(b) 1/√2
(c) √3/2
(d) 2/√3
Answer:
(c) √3/2
Question 4.
If sin^-1 x – cos^-1 x = 𝜋6, then x =
(a) 1/2
(b) √3/2
(c) −1/2
(d) −√3/2
Answer:
(b) √3/2

Question 5
If tan^-1 (cot θ) = 2θ, then θ is equal to
(a) 𝜋/3
(b) 𝜋/4
(c) 𝜋/6
(d) None of these
Answer:
(c) 𝜋/6

Question 6
cot(𝜋/4 – 2cot^-1 3) =
(a) 7
(b) 6
(c) 5
(d) None of these
Answer:
(a) 7

Question 7
If tan^-1 3 + tan^-1 x = tan^-1 8, then x =
(a) 5
(b) 1/5
(c) 5/14
(d) 14/5
Answer:
(b) 15

Question 8
If tan^-1 (x – 1) + tan^-1 x + tan^-1 (x + 1) = tan^-1 3x, then the values of x are
(a) ±1/2
(b) 0, 1/2
(c) 0, −1/2
(d) 0, ±1/2
Answer:
(d) 0, ±1/2

Question 9
If 6sin^-1 (x² – 6x + 8.5) = π, then x is equal to
(a) 1
(b) 2
(c) 3
(d) 8
Answer:
(b) 2

Question 10
sin^-1(1 – x) – 2sin^-1 x = 𝜋2
(a) 0
(b) 1/2
(c) 0, 1/2
(d) -1/2
Answer:
(a) 0

Question 11
2tan^-1(cos x) = tan^-1(2cosec x)
(a) 0
(b) π/3
(c) π/4
(d) π/2
Answer:
(c) π/4

Question 12
The domain of the function defined by f(x) = sin−1√(𝑥−1) is
(a) [1, 2]
(b) [-1, 1]
(c) [0, 1]
(d) none of these
Answer:
(a) [1, 2]

Question 13.
The value of sin (2tan^-1 (0.75)) is equal to
(a) 0.75
(b) 1.5
(c) 0.96
(d) sin 1.5
Answer:
(c) 0.96

Question 14
The value of expression 2 sec^-1 2 + sin^-1(1/2)
(a) 𝜋/6
(b) 5𝜋/6
(c) 7𝜋/6
(d) 1
Answer:
(b) 5𝜋/6

Question 15
The value of the expression tan(1/2 cos−1 2/√3)
(a) 2 + √5
(b) √5 – 2
(c) √5+22
(d) 5 + √2
Answer:
(b) √5 – 2

Question 16
cos^-1[cos(2cot^-1(√2 – 1))] = ______
(a) √2 – 1
(b) 1 + √2
(c) 𝜋/4
(d) 3𝜋/4
Answer:
(d) 3𝜋/4

Question 17
Find the value of sec² (tan^-1 2) + cosec² (cot^-1 3)
(a) 12
(b) 5
(c) 15
(d) 9
Answer:
(c) 15

Question 18
The equation sin^-1 x – cos^-1 x = cos^-1(√3/2) has
(a) unique solution
(b) no solution
(c) infinitely many solution
(d) none of these
Answer:
(a) unique solution

Question 19
The equation 2cos^-1x + sin^-1x = 11𝜋/6 has
(a) no solution
(b) only one solution
(c) two solutions
(d) three solutions
Answer:
(a) no solution