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Previous Year Question (PYQs)
3
A line passing through the point $P(\sqrt{5}, \sqrt{5})$ intersects the ellipse
$\dfrac{x^2}{36} + \dfrac{y^2}{25} = 1$
at $A$ and $B$ such that $(PA) \cdot (PB)$ is maximum.
Then $5(PA^2 + PB^2)$ is equal to:
Solution
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