Let C be the circle of minimum area enclosing the ellipse E : x^2 a^2 + y^2 b^2 = 1 with eccentricity 1 2 and...

Question

Let C be the circle of minimum area enclosing the ellipse E : x^2 a^2 + y^2 b^2 = 1 with eccentricity 1 2 and foci( 2, 0). Let PQR be a variable triangle, whose vertex P is on the circle C and the side QR of length 2a is parallel to the major axis of E and contains the point of intersection of E with the negative y-axis. Then the maximum area of the triangle PQR is:

Accepted Answer

(1)

JEE Main 2025 Mathematics question

Solution