If f: R R is a differentiable function such that f'(x)>2f(x) for all x R , and f(0)=1, then

JEE Advanced 2017 Mathematics question

If is a differentiable function such that for all , and , then

Answer: (A),(C)

Let ; then , so is increasing and for , i.e. : (C)

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Question ID VK-026691