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Ellipse question

2025 · 3 Apr · Shift 1 · Q37

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JEE Main
Mathematics
Ellipse
2025 · 3 Apr · Shift 1 · Q37

Ellipse question

2025 · 3 Apr · Shift 1 · Q37

JEE MainMathematicsEllipseMCQ+4 / −1

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

(P A) \cdot(P B)

is maximum. Then

5\left(P A^2+P B^2\right)

is equal to :

A
290
B
377
C
338
D
218

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