Let E: x^2 a^2 + y^2 b^2 =1, a b and H: x^2 A^2 - y^2 B^2 =1. Let the distance between the foci of E and...

Question

Let E: x^2 a^2 + y^2 b^2 =1, a > b and H: x^2 A^2 - y^2 B^2 =1. Let the distance between the foci of E and the foci of H be 2 3. If a – A = 2, and the ratio of the eccentricities of E and H is 1 3 , then the sum of the lengths of their latus rectums is equal to :

Accepted Answer

(3)

JEE Main 2025 Mathematics question

Solution