Let the ellipse, E_1 : x^2 a^2 + y^2 b^2 = 1, a b and E_2 : x^2 A^2 + y^2 B^2 = 1, A

Question

Let the ellipse, E_1 : x^2 a^2 + y^2 b^2 = 1, a > b and E_2 : x^2 A^2 + y^2 B^2 = 1, A < B have same eccentricity 1 3 . Let the product of their lengths of latus rectums be 32 3 , and the distance between the foci of E_1 be 4. If E_1 and E_2 meet at A,B,C and D, then the area of the quadrilateral ABCD equals :

Accepted Answer

(4)

JEE Main 2025 Mathematics question

Solution