Test: Single Correct MCQs: Inverse Trigonometric Functions | JEE Advanced


9 Questions MCQ Test Mathematics For JEE | Test: Single Correct MCQs: Inverse Trigonometric Functions | JEE Advanced


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This mock test of Test: Single Correct MCQs: Inverse Trigonometric Functions | JEE Advanced for JEE helps you for every JEE entrance exam. This contains 9 Multiple Choice Questions for JEE Test: Single Correct MCQs: Inverse Trigonometric Functions | JEE Advanced (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Single Correct MCQs: Inverse Trigonometric Functions | JEE Advanced quiz give you a good mix of easy questions and tough questions. JEE students definitely take this Test: Single Correct MCQs: Inverse Trigonometric Functions | JEE Advanced exercise for a better result in the exam. You can find other Test: Single Correct MCQs: Inverse Trigonometric Functions | JEE Advanced extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

The value of 

Solution:


QUESTION: 2

If we consider only the prin ciple values of th e inverse trigonometric functions then the value of 

Solution:

QUESTION: 3

The number of real solutions of 

Solution:


⇒ x2 + x+1 = 1⇒ x(x +1) = 0
⇒ x = 0, – 1 are the only real solutions.

QUESTION: 4

 for  then x equals

Solution:



On both sides we have G.P. of infinite terms.

QUESTION: 5

If 0 < x < 1, then 

Solution:



QUESTION: 6

The value of x for which sin (cot –1 (1+ x)) = cos (tan–1 x) is

Solution:



QUESTION: 7

The value of cot 

Solution:



QUESTION: 8

The principal value of 

Solution:

The principal value of

= sin –1 (sin π / 3) = π / 3
∴ (d) is the correct answer..

*Multiple options can be correct
QUESTION: 9

where the inverse trigonometric functions take only the principal values, then the correct option(s) is (are)

Solution: