JEE Math Practice Question
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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