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Let f be a real valued continuous function on [0, 1] and f(x) = x + ∫ 1 0 ) t ( f ) t – x ( dt. Then, which of the following points (x, y) lies one the curve y = f(x) ?

1. (2, 4)
2. (1,2)
3. (4, 17)
4. (6, 8)

Correct answer: (6, 8)

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