MHT CET 2023 Mathematics question

Mathematics Application of Derivatives MHT CET 2023

The diagonal of a square is changing at the rate of 0.5 cm/sec. Then the rate of change of area when the area is 400 cm is equal to

(A) cm/sec
(B) cm/secCorrect
(C) cm/sec
(D) cm/sec

Answer: (B)

Solution

Let the diagonal be ; the side is , so the area is . Differentiating with time: . When : , cm. With :

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Question ID VK-098224