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Q.

A point p moves with an angular velocity 2 radians/sec on the circumference of a circle with centre O and radius 2 cms. PM is perpendicular to the diameter of the circle such that ∠POM=θ. If the velocity of the point M is zero, then values of θ are

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a

0,π

b

π2,π

c

π4,3π4

d

π3,π6

answer is A.

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Detailed Solution

OM=cos⁡θ,d(OM)dt=0⇒sin⁡θ=0⇒θ=0,π

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