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A point on the ellipse,

Question:

A point on the ellipse, $4 x^{2}+9 y^{2}=36$, where the normal is parallel to the line, $4 x-2 y-5$ $=0$, is :-

1. $\left(\frac{8}{5},-\frac{9}{5}\right)$

2. $\left(-\frac{9}{5}, \frac{8}{5}\right)$

3. $\left(\frac{8}{5}, \frac{9}{5}\right)$

4. $\left(\frac{9}{5}, \frac{8}{5}\right)$

Correct Option: , 4

Solution: