## JEE Advanced 2016 Paper 1 Mathematics Question 43

Let $f : (0, \infty) \rightarrow \mathbb{R}$ be a differentiable function such that $f' (x) = 2 - \frac{f(x)}{x}$ for all $x \in (0 , \infty)$ and $f(1) \neq 1$. Then

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