Mathematics · 2025
JEE Main · 3 April 2025, Shift 1 · Q12
A line passing through the point P(√ 5, √ 5 ) intersects the ellipse x^2/36+y^2/25=1 at A and B such that (P A) ·(P B) is maximum. Then 5(P A^2+P…
A line passing through the point $\displaystyle P(\sqrt{5}, \sqrt{5})$ intersects the ellipse $\displaystyle \frac{x^2}{36}+\frac{y^2}{25}=1$ at $\displaystyle A$ and $\displaystyle B$ such that $\displaystyle (P A) \cdot(P B)$ is maximum. Then $\displaystyle 5\left(P A^2+P B^2\right)$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 338$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.