Ellipse Line Intersection PA PB (Jee Mains)

Ellipse

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Ellipse Line Intersection PA PB

A line passing through the point $P\left( {\sqrt {5,} \sqrt 5 } \right)$ intersects the ellipse $\frac{{{x^2}}}{{36}} + \frac{{{y^2}}}{{25}}$ = 1 at A and B such that (PA). (PB) is maximum. Then 5(PA² + PB²) is equal to :

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