If the domain of the function f(x)=... | Functions | JEE Main 2021

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JEE MAIN_2021_

22-JULY-2021,S2

Question

If the domain of the function $f(x)=\frac{\cos ^{-1} \sqrt{x^2-x+1}}{\sqrt{\sin ^{-1}\left(\frac{2 x-1}{2}\right)}}$ is the interval $(\alpha, \beta]$, then $\alpha+\beta$ is equal to:

Select the correct option:

A

$\frac{3}{2}$

B

2

C

$\frac{1}{2}$

D

1

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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