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JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1
On the ellipse 4x2+9y2=14 x^2+9 y^2=1, the points at which the tangents are parallel to the line 8x=9y8 x=9 y, are
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Correct option: B
(±2/5,±1/5)(\pm 2 / 5, \pm 1 / 5)
Option D ((±25,∓15)\left(\pm \frac{2}{5}, \mp \frac{1}{5}\right)) is correct because using the formula for points on the ellipse where tangents have a given slope, we find the points to be (±25,∓15)\left(\pm \frac{2}{5}, \mp \frac{1}{5}\right).

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