Let f:(0, ) (0, ) be a differentiable function such that f(1) = e and _ t x t^2f^2(x)-x^2f^2(t) t-x =0. If...

Question

Let f:(0, ) (0, ) be a differentiable function such that f(1) = e and _ t x t^2f^2(x)-x^2f^2(t) t-x =0. If f(x) = 1, then x is equal to :

Accepted Answer

(D)

JEE Main 2020 Mathematics question