Let x^2 a^2 + y^2 b^2 =1 (a b) be a given ellipse, length of whose latus rectum is 10. If its eccentricity...

Question

Let x^2 a^2 + y^2 b^2 =1 (a > b) be a given ellipse, length of whose latus rectum is 10. If its eccentricity is the maximum value of the function, (t)= 5 12 +t-t^2, then a^2+b^2 is equal to :

Accepted Answer

(B)

JEE Main 2020 Mathematics question

Solution