MHT CET 2024 Mathematics question

MathematicsApplication of DerivativesMHT CET 2024

A ladder 5m long rests against a vertical wall. If its top slides downwards at the rate of 10 cm./sec., then the foot of the ladder is sliding at the rate of m/sec., when it is 4m away from the wall

Answer: (D)

Solution

Let the foot be m from the wall and the top m high, so . Differentiate with respect to : , i.e. . When , . The top slides down at cm/s

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Question ID VK-093287