Mathematics · 2021
JEE Main · 22 July 2021, Shift 2 · Q61
If the domain of the function f(x)=(cos^-1 √(x^2-x+1))/(√(sin^-1((2 x-1)/2))) is the interval (α, β], then α+β is equal to:
If the domain of the function $\displaystyle f(x)=\frac{\cos ^{-1} \sqrt{x^2-x+1}}{\sqrt{\sin ^{-1}\left(\dfrac{2 x-1}{2}\right)}}$ is the interval $\displaystyle (\alpha, \beta]$, then $\displaystyle \alpha+\beta$ is
equal to:
Official answer
(4)
$\displaystyle \frac{3}{2}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.