Let f be a real valued | DEFINITE INTEGRATION| JEE-MAIN 2022

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JEE MAIN 2022

29-06-2022 S2

Question

Let f be a real valued continuous function on $[0,1]$ and $f(x)=x+\int_0^1(x-t) f(t) d t$. Then which of the following points $(\mathrm{x}, \mathrm{y})$ lies on the curve $\mathrm{y}=f(\mathrm{x})$ ?

Select the correct option:

A

(2, 4)

B

(1, 2)

C

(4, 17)

D

(6, 8)

✓ Correct! Well done.

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Solution

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