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NCERT Solutions for class 12 Maths | Chapter 2 - Inverse Trigonometric Functions

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Free download in PDF Class 12 Maths Chapter 2 Inverse Trigonometric Functions Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>

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(1) cot-1(1)
[A] π/3
[B] π/4
[C] π/2
[D] 0
Answer: π/4
(2) tan-1(√3)
[A] π/6
[B] π/3
[C] 2π/3
[D] 5π/6
Answer: π/3

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(3) tan-1 √3 – sec-1 (-2) is equal to
[A] π
[B] –π/3
[C] π/3
[D] 2π/3
Answer: –π/3
(4) Princal value of tan-1 (-1) is
[A] π/4
[B] −π/2
[C] 5π/4
[D] −π/4
Answer: −π/4
(5) sin-1 x = y Then
[A] 0 ≤ y ≤ π
[B] –π/2 ≤ y ≤ π/2
[C] 0 < y < π
[D] –π/2 < y < –π/2
Answer: –π/2 ≤ y ≤ π/2
(6) tan-11/2 + tan-1 2/11 = tan-1 a then a = ?
[A] 1/4
[B] 1/2
[C] 3/4
[D] 1
Answer: 3/4
(7) The domain of the following f(x) = is
[A] [0, 1]
[B] [-1, 1]
[C] [-, 0]
[D] [0, 1]
Answer: [0, 1]
(8) The domain of the function defined by f (x) = sin-1 is
[A] [1, 2]
[B] [-1, 1]
[C] [0, 1]
[D] None of these
Answer: [1, 2]
(9) The value of sin (2 tan-1 (.75)) is equal to
[A] .75
[B] 1.5
[C] .96
[D] sin 1.5
Answer: .96
(10) If |x| ≤ 1, then 2 tan-1 x + sin-1(2x/1+x2) is equal to
[A] 4 tan-1 x
[B] π2
[C] 0
[D] π
Answer: 4 tan-1 x
(11) cos-1(1/2)
[A] –π/3
[B] π/3
[C] π/2
[D] 2π/3
Answer: π/3
(12) cos-1(√3/2)
[A] 5π/6
[B] π/6
[C] 4π/9
[D] 2π/3
Answer: 5π/6
(13) cot-1(-√3)
[A] 5π/6
[B] π/3
[C] π/2
[D] π/4
Answer: 5π/6
(14) The principle value of sin-1 √3/2 is
[A] 2π/3
[B] π/6
[C] π/4
[D] π/3
Answer: π/3
(15) Princal value of cos-1(−1/√2)
[A] 3π/4
[B] 5π/4
[C] –π/4
[D] None of these
Answer: 3π/4
(16) If y = sec-1 x then
[A] 0 ≤ y ≤ π
[B] 0 ≤ y ≤ π/2
[C] –π/2 < y < π/2
[D] None of these
Answer: None of these
(17) sin[π/3 – sin-1(-1/2)] is equal to
[A] 1/2
[B] 1/3
[C] 1/4
[D] 1
Answer: 1
(18) The value of cos-1(1/2) + 2sin-1(1/2) is equal to
[A] π/4
[B] π/6
[C] 2π/3
[D] 5π/6
Answer: π/6
(19) tan-11/2 + tan-11/3 =
[A] π/4
[B] π/2
[C] π/3
[D] π
Answer: π/4
(20) Which of the following is the principal value branch of cosec-1 x?
[A] (−π/2, π/2)
[B] (0, π) – {π/2}
[C] [−π/2, π/2]
[D] [−π/2, π/2] – [0]
Answer: [−π/2, π/2] – [0]

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