Let f(x)=cos(2tan⁻¹(sin(cos⁻¹√((1−x)/x))))... | Trigonometric Functions

JEE Main 2021

26-08-2021 S1

Question

Let $f(x)=\cos \left(2 \tan ^{-1} \sin \left(\cos ^{-1} \sqrt{\frac{1-x}{x}}\right)\right) .0<x<1$. Then :

Select the correct option:

$(1-\mathrm{x})^2 \mathrm{f}^{\prime}(\mathrm{x})-2(\mathrm{f}(\mathrm{x}))^2=0$

$(1+x)^2 f(x)+2(f(x))^2=0$

$(1-x)^2 f^{\prime}(x)+2(f(x))^2=0$

$(1+x)^2 f(x)-2(f(x))^2=0$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

Start Preparing for JEE with Competishun