Mathematics · 2024
JEE Main · 4 April 2024, Shift 1 · Q1
If the domain of the function sin^-1((3 x-22)/(2 x-19))+ log_e ((3 x^2-8 x+5)/(x^2-3 x-10)) is (α, β], then 3 α+10 β is equal to:
If the domain of the function $\displaystyle \sin ^{-1}\left(\frac{3 x-22}{2 x-19}\right)+\log _{\mathrm{e}}\left(\frac{3 x^2-8 x+5}{x^2-3 x-10}\right)$ is $\displaystyle (\alpha, \beta]$, then $\displaystyle 3 \alpha+10 \beta$ is equal to:
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 97$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.