JEE Advanced 2018 Paper 1 Mathematics Q5

Mathematics

Problem

Let f : ℝ → ℝ and g : ℝ → ℝ be two non-constant differentiable functions. If f′(x) = (e^(f(x) − g(x)))g′(x) for all x ∈ ℝ, and f(1) = g(2) = 1, then which of the following statement(s) is (are) TRUE?

Browse the problem library