The value of c of Lagrange's mean value theorem for f(x)= 25-x^2 on [1, 5] is

MHT CET 2023 Mathematics question

The value of of Lagrange's mean value theorem for on [1, 5] is

Answer: (A)

is continuous on and differentiable on . , , so the mean slope is . Also . Setting

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Question ID VK-094760