Mathematics · 2024
JEE Main · 9 April 2024, Shift 2 · Q8
If log_e y=3 sin^-1 x, then (1-x^2) y^′ ′-x y^′ at x=1/2 is equal to
If $\displaystyle \log _e y=3 \sin ^{-1} x$, then $\displaystyle \left(1-x^2\right) y^{\prime \prime}-x y^{\prime}$ at $\displaystyle x=\frac{1}{2}$ is equal to
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle 9 e^{\pi / 2}$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.