Let be a point on the hyperbola If the normal to| HYPERBOLA

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JEE MAIN 2020

04-09-2020 S1

Question

Let $\mathrm{P}(3,3)$ be a point on the hyperbola, $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$. If the normal to it at P intersects the x axis at $(9,0)$ and e is its eccentricity, then the ordered pair $\left(\mathrm{a}^2, \mathrm{e}^2\right)$ is equal to :

Select the correct option:

A

$(9,3)$

B

$\left(\frac{9}{2}, 3\right)$

C

$\left(\frac{3}{2}, 2\right)$

D

$\left(\frac{9}{2}, 2\right)$

✓ Correct! Well done.

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