Let f be a real valued continuous function on [0, 1] and f(x) = x + ∫₀¹ (x - t)f(t)dt. Then, which of the following points (x, y) lies on the curve y = f(x) ?

Integral Calculus: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jun, Evening shift · Q3426

JEE Main 202229 Jun, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

Let f be a real valued continuous function on [0, 1] and

f(x) = x + \int\limits_0^1 {(x - t)f(t)dt}

. Then, which of the following points (x, y) lies on the curve y = f(x) ?

JEE Main 2022 · 29 Jun, Evening shift · Q3426

JEE Main 202229 Jun, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

Let f be a real valued continuous function on [0, 1] and

f(x) = x + \int\limits_0^1 {(x - t)f(t)dt}

. Then, which of the following points (x, y) lies on the curve y = f(x) ?