A line passing through the point P(√5, √5) intersects the ellipse… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 3 April, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

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

A
$218$
B
$377$
C
$290$
D
$338$

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