JEE Advanced 2018 Paper 1 Mathematics Q6

Mathematics

Problem

Let f : [0, ∞) → ℝ be a continuous function such that f(x) = 1 − 2x + ∫₀ˣ e^(x − t)f(t)dt for all x ∈ [0, ∞). Then, which of the following statement(s) is (are) TRUE?

Browse the problem library