JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

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

(x, y)

lies on the curve

y=f(x)

View answer and explanation

Correct option: D

(6,8)

Option D ((6,8)) is correct because substituting x=6 into the derived function f(x) yields y=8, satisfying the equation.

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