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

Definite Integration

JEE Main 2022 · 29 Jun, Evening shift · Q3426

MathematicsMedium210×since 2002Q3426

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

MathematicsMedium210×since 2002Q3426

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) ?