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 (P A^2+P B^2) is equal to [3 Apr 2025 Shift 1]

JEE Main 3 Apr 2025 Shift 1 Paper

Section: Mathematics

Question : 4 of 75

Marks: +1, -0

A line passing through the point P(√5,√5) intersects the ellipse ‌

+‌

=1 at A and B such that (PA)⋅(PB) is maximum. Then 5(PA2+PB2) is equal to

[3 Apr 2025 Shift 1]

Go to Question:

Prev Question

Next Question