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JEE Math Practice 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

  1. A.$$9 e^{\pi / 2}$$
  2. B.$$9 e^{\pi / 6}$$
  3. C.$$3 e^{\pi / 2}$$
  4. D.$$3 e^{\pi / 6}$$

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