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MHT CET20244 May 2024Evening ShiftMathematicsApplication of DerivativesActual

A ladder 5 m 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 4 m away from the wall.

Options

  1. A0.75
  2. B7.5
  3. C0.0075
  4. D0.075

Correct answer

D. 0.075

Step-by-step solution

According to the figure, x^2+y^2=25 At x=4, y=3 Differentiating (i) with respect to ' t ', we get aligned & 2 x ~d x dt +2 y ~d y dt =0 & x ~d x dt =-y ~d y dt & ~d x dt = -y x ~d y dt = -3 4 (-0.1)=0.075 aligned

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