The normal at a point P.... | JEE Advanced 2009 | Coordinate

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The normal at a point P on the ellipse $\mathrm{x}^2+4 \mathrm{y}^2=16$ meets the x -axis at Q . If M is the mid point of the line segment PQ , then the locus of M intersects the latus rectums of the given ellipse at the points

Select the correct option:

A

$\left( \pm \frac{3 \sqrt{5}}{2}, \pm \frac{2}{7}\right)$

B

$\left( \pm \frac{3 \sqrt{5}}{2}, \pm \frac{\sqrt{19}}{4}\right)$

C

$\left( \pm 2 \sqrt{3}, \pm \frac{1}{7}\right)$

D

$\left( \pm 2 \sqrt{3}, \pm \frac{4 \sqrt{3}}{7}\right)$

✓ Correct! Well done.

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