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Definite Integration question

2022 · 29 Jun · Shift 2 · Q27

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PYQ Library
JEE Main
Mathematics
Definite Integration
2022 · 29 Jun · Shift 2 · Q27

Definite Integration question

2022 · 29 Jun · Shift 2 · Q27

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

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) ?

A
(2, 4)
B
(1, 2)
C
(4, 17)
D
(6, 8)

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