Let e_1 and e_2 be the eccentricities of the ellipse, x^2 25 + y^2 b^2 =1 (b

Question

Let e_1 and e_2 be the eccentricities of the ellipse, x^2 25 + y^2 b^2 =1 (b < 5) and the hyperbola, x^2 16 - y^2 b^2 =1 respectively satisfying e_1e_2=1. If and are the distances between the foci of the ellipse and the foci of the hyperbola respectively, then the ordered pair ( , ) is equal to -

Accepted Answer

(D)

JEE Main 2020 Mathematics question

Solution