JEE Main 2025 Mathematics question

MathematicsEllipseJEE Main 2025

A line passing through the point P(, ) intersects the ellipse at A and B such that (PA).(PB) is maximum. Then is equal to

Answer: (3)

Solution

Using parametric line through P, maximum at θ=0. Computing PA and PB gives .

Question ID VK-002646