If f and g are differentiable functions in [0, 1] satisfying f(0) = 2 = g(1), g(0) = 0 and f(1) = 6, then for some c ]0, 1[:

JEE Main 2014 Mathematics question

If f and g are differentiable functions in satisfying , and , then for some :

Answer: (A)

Let . and . By

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Question ID VK-008718