MHT CET 2025 Mathematics question

MathematicsApplication of DerivativesMHT CET 2025

The radius of the base of a cone is increasing at the rate cm/minute and the altitude is decreasing at the rate cm/minute. The rate at which the lateral surface area is changing, when the radius is cm and altitude is cm. is

Answer: (D)

Solution

Lateral surface area with slant height . At , : . cm/min. Then

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Question ID VK-101981