MHT CET 2025 Mathematics question

MathematicsApplication of DerivativesMHT CET 2025

The abscissae of the points of the curve are in the interval , where the slope of the tangents can be obtained by mean value theorem for the interval are

Answer: (C)

Solution

is continuous on and differentiable on , so by Lagrange's MVT there is c with . Since , we need , so and

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Question ID VK-101814