Given that the inverse trigonometric functions take principal values only. Then, the number of real values of \( x \) which satisfy \( \sin ^{-1}\left(\frac{3 x}{5}\right)+\sin ^{-1}\left(\frac{4 x}{5}\right)=\sin ^{-1} x \) is equal to :

[JEE Main 2021, 16 Mar (Shift 2)]

Question

Given that the inverse trigonometric functions take principal values only. Then, the number of real values of \( x \) which satisfy \( \sin ^{-1}\left(\frac{3 x}{5}\right)+\sin ^{-1}\left(\frac{4 x}{5}\right)=\sin ^{-1} x \) is equal to :

[JEE Main 2021, 16 Mar (Shift 2)]

YESPYQ · Accepted Answer

Options are free to see. Unlock the correct answer and full explanation with PYQ Pass.

Given that the inverse trigonometric functions take principal values only. Then, the number of real values of \( x \) wh…

Practice more JEE Maths PYQs