JEE Main 2025 Mathematics question
Let be an ellipse. Ellipses 's are constructed such that their centres and eccentricities are same as that , and the length of minor axis of is the length of major axis of (). If is the area of the ellipse , then , is equal to.......
Answer: 54
Solution
With e=√5/3 fixed, computing successive ellipses and summing areas geometrically gives , so answer is 54