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Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions

  

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 = 5150
(a) 12
(b) 152
(c) 2√2
(d) 5√2
Answer:
(b) 152

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

MCQ Of Inverse Trigonometry Class 12 Question 3.
    
Answer:
(b) 376

Inverse Trigonometric Functions MCQ Question 4.
    
Answer:
(d) Ï€4

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

MCQ On Inverse Trigonometric Functions Question 6.
If cos-1 x + sin-1 x = Ï€, then the value of x is
(a) 32
(b) 12
(c) 32
(d) 23
Answer:
(c) 32

MCQ On Inverse Trigonometric Functions Class 12 Question 7.
If sin-1 x – cos-1 x = Ï€6, then x =
(a) 12
(b) 32
(c) 12
(d) 32
Answer:
(b) 32

Inverse Trigonometry MCQs Question 8.
If tan-1 (cot θ) = 2θ, then θ is equal to
(a) Ï€3
(b) Ï€4
(c) Ï€6
(d) None of these
Answer:
(c) Ï€6

MCQ Inverse Trigonometry Class 12 Question 9.
cot(Ï€4 – 2cot-1 3) =
(a) 7
(b) 6
(c) 5
(d) None of these
Answer:
(a) 7

Inverse Trigonometry MCQ Question 10.
If tan-1 3 + tan-1 x = tan-1 8, then x =
(a) 5
(b) 15
(c) 514
(d) 145
Answer:
(b) 15

Question 11.
    
Answer:
(d) Ï€6

Question 12.
    
Answer:
(b) Ï€3

Question 13.
    
Answer:
(b) Ï€3

Inverse Trigonometric Functions Class 12 MCQ With Solutions Question 14.
    
Answer:
(a) Ï€4

Class 12 Inverse Trigonometry MCQ Question 15.
    
Answer:
(b) 3Ï€4

Chapter 2 Maths Class 12 MCQ Question 16.
    
Answer:
(d) 2Ï€3

Inverse Trigonometric Functions MCQ Pdf Question 17.
    
Answer:
(a) tan2(α2)

MCQ On Inverse Trigonometry Class 12 Question 18.
    
Answer:
(b) 617

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) ±12
(b) 0, 12
(c) 0, 12
(d) 0, ±12
Answer:
(d) 0, ±12

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

Question 21.
    
Answer:
(d) 2425

Question 22.
sin-1 (1 – x) – 2sin-1 x = Ï€2
(a) 0
(b) 1/2
(c) 0, 1/2
(d) -1/2
Answer:
(a) 0

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

Question 24.
    
Answer:
(a) x2+1x2+2

Question 25.
    
Answer:
(a) 3Ï€5

Question 26.
The domain of the function defind by f(x) = sin1x1 is
(a) [1, 2]
(b) [-1, 1]
(c) [0, 1]
(d) none of these
Answer:
(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
Answer:
(c) 0.96

Question 28.
The value of expression 2 sec-1 2 + sin-1(12)
(a) Ï€6
(b) 5Ï€6
(c) 7Ï€6
(d) 1
Answer:
(b) 5Ï€6

Question 29.
    
Answer:
(c) 2425

Question 30.
The value of the expression tan(12cos123)
(a) 2 + √5
(b) √5 – 2
(c) 5+22
(d) 5 + √2
Answer:
(b) √5 – 2

Question 31.
    
Answer:
(a) 617

Question 32.
    
Answer:
(d) none of these

Question 33.
    
Answer:
(b) 0

Question 34.
    
Answer:
(d) 12x1

Question 35.
cos-1[cos(2cot-1(√2 – 1))] = ______
(a) √2 – 1
(b) 1 + √2
(c) Ï€4
(d) 3Ï€4
Answer:
(d) 3Ï€4

Question 36.
The range of sin-1 x + cos-1 x + tan-1 x is
(a) [0, π]
(b) [Ï€4,3Ï€4]
(c) (0, π)
(d) [0,Ï€2]
Answer:
(b) [Ï€4,3Ï€4]

Question 37.
    
Answer:
(c) Ï€4

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

Question 39.

Answer:
(d) 2x

Question 40.
The equation sin-1 x – cos-1 x = cos-1(32) has
(a) unique solution
(b) no solution
(c) infinitely many solution
(d) none of these
Answer:
(a) unique solution

Question 41.
3 tan-1 a is equal to
    
Answer:
(d) tan1(3aa313a2)

Question 42.
    
Answer:
(d) 15

Question 43.
The equation 2cos-1 x + sin-1 x = 11Ï€6 has
(a) no solution
(b) only one solution
(c) two solutions
(d) three solutions
Answer:
(a) no solution

Question 44.
    
Answer:
(d) x

Question 45.
If tan-1 2x + tan-1 3x = Ï€4, then x is
(a) 16
(b) 1
(c) (16, -1)
(d) none of these
Answer:
(a) 16

Question 46.
    
Answer:
(c) x2+1x2+2

Question 47.
    
Answer:
(a) ab

Question 48.
If tan-1 x – tan-1 y = tan-1 A, then A is equal to
(a) x – y
(b) x + y
(c) xy1+xy
(d) x+y1xy
Answer:
(c) xy1+xy

Question 49.

Answer:
(c) ±52

Question 50.
The value of cot-1 9 + cosec-1(414) is given by
(a) 0
(b) Ï€4
(c) tan-1 2
(d) Ï€2
Answer:
(b) 

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