Mathematics · 2020
JEE Main · 4 September 2020, Shift 1 · Q66
Let P (3,3) be a point on the hyperbola, x^2/(a^2)-y^2/(b^2)=1. If the normal to it at P intersects the x -axis at (9,0) and e is its eccentricity,…
Let $\displaystyle \mathrm{P}(3,3)$ be a point on the hyperbola, $\displaystyle \frac{x^2}{\mathrm{a}^2}-\frac{y^2}{\mathrm{~b}^2}=1$. If the normal to it at P intersects the $\displaystyle x$-axis at $\displaystyle (9,0)$ and e is its eccentricity, then the ordered pair $\displaystyle \left(\mathrm{a}^2, \mathrm{e}^2\right)$ is equal to:
Official answer
(4)
$\displaystyle \left(\frac{9}{2}, 3\right)$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.