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JEE MATHEMATICS MCQ: TANGENTS & NORMALS

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The equation of a normal to the curve, sin⁡y=xsin⁡(π3+y)\sin \mathrm{y}=\mathrm{x} \sin \left(\frac{\pi}{3}+y\right) at x=0\mathrm{x}=0, is :
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Correct option: B
2x+3y=02 x+\sqrt{3} y=0
Option B (2x+3y=02 x+\sqrt{3} y=0) is correct because it represents the equation of the normal to the curve at x=0, derived from the derivative and normal slope.

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