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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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Attempt Test: Single Correct MCQs: Inverse Trigonometric Functions | JEE Advanced | 9 questions in 10 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics For JEE for JEE Exam | Download free PDF with solutions
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:


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