Integrals: JEE Mains 2022 June 29 Shift 2

Hard· Definite integrals and properties· +4 / −1
Let ff be a real valued continuous function on [0,1][0,1] and f(x)=x+∫01(x−t)f(t) dtf(x)=x+\displaystyle\int_0^1(x-t)f(t)\,dt. Then which of the following points (x,y)(x,y) lies on the curve y=f(x)y=f(x) ?
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