MHT CET 2022 Mathematics question

MathematicsApplication of DerivativesMHT CET 2022

A stone is dropped in a quite lake and it is observed that waves move in circles. If the radius of a circular wave increases at the rate 2 cm/sec, then the rate of increase in its area at the instant when its radius is 10 cm, is cm/sec

Answer: (A)

Solution

Area . Differentiating with respect to time, . With cm and cm/s: cm/s. Hence

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Question ID VK-094192