MHT CET 2025 Mathematics question

MathematicsApplication of DerivativesMHT CET 2025

The length and breadth of a rectangle are cm and cm respectively. If the length decreases at the rate of 5 cm/minute and the breadth increases at the rate of 3 cm/minute, then the rates of change of the perimeter and area respectively when length is 5 cm and breadth is 2 cm, are

Answer: (A)

Solution

and . Perimeter , so cm/min. Area , so

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Question ID VK-102446