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JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1
The normal at the point (3,23)(3,2 \sqrt{3}) on the ellipse x236+y216=1\frac{x^2}{36}+\frac{y^2}{16}=1 meets the major axis of the ellipse at (α,0)(\alpha, 0), the value of α\alpha is:
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Correct option: A
53\frac{5}{3}
Option A (53\frac{5}{3}) is correct because substituting y=0 into the equation of the normal to the ellipse at the given point yields x = 5/3.

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