If e_1 and e_2 are the eccentricities of the ellipse, x^2 18 + y^2 4 =1 and the hyperbola, x^2 9 - y^2 4 =1...

Question

If e_1 and e_2 are the eccentricities of the ellipse, x^2 18 + y^2 4 =1 and the hyperbola, x^2 9 - y^2 4 =1 respectively and (e_1, e_2) is a point on the ellipse, 15x^2+3y^2=k, then k is equal to

Accepted Answer

(A)

JEE Main 2020 Mathematics question

Solution