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AP EAMCET202423 May 2024Morning ShiftMathematicsApplication of DerivativesActual

A is a point on the circle with radius 8 and centre at O . A particle P is moving on the circumference of the circle starting from A. M. is the foot of the perpendicular from P on O A and POM = . When O M=4 and d d t =6 radians / sec , then the rate of change of PM is (in units/sec)

Options

  1. A24 3
  2. B24
  3. C15 3
  4. D48 3

Correct answer

B. 24

Step-by-step solution

When O M=4 = O M O P = 1 2 aligned & Now, P M=O P P M=8 & d(P M) d t =8 d d t & 8 1 2 6=24 aligned

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