Let E_1: x^2 a^2 + y^2 b^2 =1, a b. Let E_2 be another ellipse such that it touches the end points of major...

Question

Let E_1: x^2 a^2 + y^2 b^2 =1, a > b. Let E_2 be another ellipse such that it touches the end points of major axis of E_1 and the foci of E_2 are the end points of minor axis of E_1. If E_1 and E_2 have same eccentricities, then its value is -

Accepted Answer

(A)

JEE Main 2021 Mathematics question

Solution