🛠️ JEE➗ Maths

If \(\log _e y=3 \sin ^{-1} x\), then \(\left(1-x^2\right) y^{\prime \prime}-x y^{\prime}\) at \(x=\frac{1}{2}\) is equa…

Q1

If \(\log _e y=3 \sin ^{-1} x\), then \(\left(1-x^2\right) y^{\prime \prime}-x y^{\prime}\) at \(x=\frac{1}{2}\) is equal to

[JEE Main 2024, 9 Apr (Shift 2)]

a

\(3{e}^{\pi /6}\)

b

\(9{e}^{\pi /2}\)

c

\(3{e}^{\pi /2}\)

d

\(9{e}^{\pi /6}\)

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