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JEE MATHEMATICS MCQ: TANGENTS & NORMALS

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Application +4 | -1
If ∫π/2x(3−2sin⁡2t)+∫0ycos⁡tdt=0\int\limits_{{\pi / 2}}^x \sqrt{\left(3-2 \sin ^2 t\right)}+\int\limits_{0}^y \cos t d t=0, then (dydx)π,π\left(\frac{d y}{d x}\right)_{\pi, \pi} is equal to
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Correct option: C
3\sqrt{3}
Option C (3\sqrt{3}) is correct because after differentiating the given equation and substituting the given point, we find the derivative to be 3\sqrt{3}.

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