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JEE Advance - Mathematics (1998 - No. 35)

If $$\int_0^x {f\left( t \right)dt = x + \int_x^1 {t\,\,f\left( t \right)\,\,dt,} } $$ then the value of $$f(1)$$ is
$$1/2$$
$$0$$
$$1$$
$$-1/2$$

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