MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions with Answers

MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions with Answers Set-A 

MCQ Questions for Class12 Maths Chapter 2 Inverse Trigonometric Functions

Inverse Trigonometric Functions Class 12 Maths MCQs Questions with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have Provided Inverse Trigonometric Functions Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

Class 12 Maths Chapter 2 Quiz

Class 12 Maths Chapter 2 MCQ Online Test


You can refer to NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Inverse Trigonometric Functions Class 12 Maths MCQ online test

Q1. sin-1 (sin\(\frac{2π}{3}\)) =
A. \(\frac{2π}{3}\)
B. \(\frac{π}{6}\)
C. \(\frac{4π}{3}\)
D. \(\frac{π}{3}\)
Ans: \(\frac{π}{3}\)
Q2. sin-1 (1 – x) – 2 sin-1 x = \(\frac{π}{2}\) then x = ?
A. 0, \(\frac{1}{2}\)
B. 1, \(\frac{1}{2}\)
C. \(\frac{1}{2}\)
D. 0
Ans: 0
Q3. tan-1 √3 – sec-1(-2)
A. π
B. –\(\frac{π}{3}\), 0
C. \(\frac{π}{3}\)
D. \(\frac{2π}{3}\)
Ans: –\(\frac{π}{3}\), 0
Q4. sin(sec-1 x + cosec-1x) =
A. 1
B. -1
C. \(\frac{π}{2}\)
D. \(\frac{π}{3}\)
Ans: 1
Q5. 2 tan-1 \(\frac{1}{3}\) + tan-1 \(\frac{1}{7}\) =
A. tan-1 \(\frac{44}{29}\)
B. \(\frac{π}{2}\)
C. 0
D. \(\frac{π}{4}\)
Ans: \(\frac{π}{4}\)
Q6. The principle value of sin-1 \(\frac{√3}{2}\) is
A. \(\frac{2π}{3}\)
B. \(\frac{π}{6}\)
C. \(\frac{π}{4}\)
D. \(\frac{π}{3}\)
Ans: \(\frac{π}{3}\)
Q7. The value of the expression tan-1(\(\frac{1}{2}\)cos-1\(\frac{2}{√5}\)) is
A. 2 + √5
B. √5 – 2
C. \(\frac{√5+2}{4}\)
D. √5 + 2
Ans: √5 + 2
Q8. Simplified form of cos-1 (4x3 – 3x)
A. 3 sin-1x
B. 3 cos-1x
C. π – 3 sin-1x
D. None of these
Ans: 3 cos-1x
Q9. The value of tan(tan-1 \(\frac{4}{5}\) + tan-1 \(\frac{2}{3}\)) is
A. \(\frac{6}{17}\)
B. \(\frac{7}{16}\)
C. \(\frac{17}{6}\)
D. None of these
Ans: None of these
Q10. tan-1(\(\frac{x}{y}\)) – tan-1(\(\frac{x-y}{x+y}\)) is equal to
A. \(\frac{π}{3}\)
B. \(\frac{π}{4}\)
C. \(\frac{π}{2}\)
D. \(\frac{-3π}{4}\)
Ans: \(\frac{π}{4}\)
Q11. The value of x for which sin |cot-1(1 – x)| = cos (tan-1 x) is
A. \(\frac{2}{1}\)
B. 1
C. 0
D. \(\frac{1}{2}\)
Ans: \(\frac{1}{2}\)
Q12. Princal value of cos-1(\(\frac{-1}{√2}\))
A. \(\frac{3π}{4}\)
B. \(\frac{5π}{4}\)
C. –\(\frac{π}{4}\)
D. None of these
Ans: \(\frac{3π}{4}\)
Q13. tan-1 √3 – sec-1 (-2) is equal to
A. π
B. –\(\frac{π}{3}\)
C. \(\frac{π}{3}\)
D. \(\frac{2π}{3}\)
Ans: –\(\frac{π}{3}\)
Q14. If y = sec-1 x then
A. 0 ≤ y ≤ π
B. 0 ≤ y ≤ \(\frac{π}{2}\)
C. –\(\frac{π}{2}\) < y < \(\frac{π}{2}\)
D. None of these
Ans: None of these
Q15. If x + \(\frac{1}{x}\) = 2 then the principal value of sin-1 x is x
A. \(\frac{π}{4}\)
B. \(\frac{π}{2}\)
C. π
D. \(\frac{3π}{2}\)
Ans: \(\frac{3π}{2}\)
Q16. 4 tan-1 \(\frac{1}{5}\) – tan-1 \(\frac{1}{239}\)
A. π
B. \(\frac{π}{2}\)
C. \(\frac{π}{3}\)
D. \(\frac{π}{4}\)
Ans: \(\frac{π}{4}\)
Q17. The principle value of sin-1(sin\(\frac{2π}{3}\)) is
A. \(\frac{2π}{3}\)
B. \(\frac{π}{3}\)
C. \(\frac{-π}{6}\)
D. \(\frac{π}{6}\)
Ans: \(\frac{π}{3}\)
Q18. The value of cos-1(\(\frac{1}{2}\)) + 2sin-1(\(\frac{1}{2}\)) is equal to
A. \(\frac{π}{4}\)
B. \(\frac{π}{6}\)
C. \(\frac{2π}{3}\)
D. \(\frac{5π}{6}\)
Ans: \(\frac{π}{6}\)
Q19. Algebraic expression for sin (cot-1 x) is
A. \(\frac{1}{1+x^2}\)
B. \(\frac{1}{\sqrt{1+x^2}}\)
C. \(\frac{x}{\sqrt{1+x^2}}\)
D. None of these
Ans: \(\frac{1}{\sqrt{1+x^2}}\)
Q20. If sin-1(\(\frac{2x}{1+x^2}\)) + sin-1\(\frac{2y}{1+y^2}\) = 2 tan-1 a then a is equal to
A. \(\frac{x-y}{1+xy}\)
B. \(\frac{y}{1+xy}\)
C. \(\frac{y}{1-xy}\)
D. \(\frac{x+y}{1-xy}\)
Ans: \(\frac{x+y}{1-xy}\)

MCQ Questions for Class 12 Maths


NCERT Solution of Maths Class 12


Class 12 Maths

NCERT Solution of Maths Class 12 Chapter 1

    MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-A
    MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-B
    MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-C

NCERT Solution of Maths Class 12 Chapter 2

    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-A
    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-B
    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-C
    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-D

NCERT Solution of Maths Class 12 Chapter 3

    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-A
    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-B
    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-C
    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-D

NCERT Solution of Maths Class 12 Chapter 4

    MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-A
    MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-B
    MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-C

NCERT Solution of Maths Class 12 Chapter 5

    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-A
    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-B
    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-C
    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-D

NCERT Solution of Maths Class 12 Chapter 6

    MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-A
    MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-B
    MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-C

NCERT Solution of Maths Class 12 Chapter 7

    MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-A
    MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-B
    MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-C

NCERT Solution of Maths Class 12 Chapter 8

    MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals Set-A
    MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals Set-B

NCERT Solution of Maths Class 12 Chapter 9

    MCQ Questions for Class 12 Maths Chapter 9 Differential Equations Set-A
    MCQ Questions for Class 12 Maths Chapter 9 Differential Equations Set-B

NCERT Solution of Maths Class 12 Chapter 10

    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-A
    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-B
    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-C
    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-D

NCERT Solution of Maths Class 12 Chapter 11

    MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry Set-A
    MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry Set-B

NCERT Solution of Maths Class 12 Chapter 12

    MCQ Questions for Class 12 Maths Chapter 12 Linear Programming Set-A

NCERT Solution of Maths Class 12 Chapter 13

    MCQ Questions for Class 12 Maths Chapter 13 Probability Set-A
    MCQ Questions for Class 12 Maths Chapter 13 Probability Set-B

NCERT SOLUTIONS FOR CLASS 12

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