Mathematics · 2025
JEE Main · 3 April 2025, Shift 1 · Q2
If the domain of the function f(x)= log_e((2 x-3)/(5+4 x))+ sin^-1((4+3 x)/(2-x)) is [α, β), then α^2+4 β is equal to
If the domain of the function $\displaystyle f(x)=\log _e\left(\frac{2 x-3}{5+4 x}\right)+\sin ^{-1}\left(\frac{4+3 x}{2-x}\right)$ is $\displaystyle [\alpha, \beta)$, then $\displaystyle \alpha^2+4 \beta$ is equal to
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 4$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.