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JEE Main 2024
09-04-2024 S2
Question
If $\log _e y=3 \sin ^{-1} x$, then $(1-x)^2 y^{\prime \prime}-x y^{\prime}$ at $x=\frac{1}{2}$ is equal to :
Select the correct option:
A
$9 \mathrm{e}^{\pi / 6}$
B
$3 e^{\pi / 6}$
C
$3 \mathrm{e}^{\pi / 2}$
D
$9 \mathrm{e}^{\pi / 2}$
✓ Correct! Well done.
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