If the displacement equation of a particle be represented by y=AsinPT+BcosPT, the particle executes

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A uniform circular motion

A uniform elliptical motion

A S.H.M.

A rectilinear motion

answer is C.

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Detailed Solution

y=AsinPT+BcosPTLet A=rcosθ, B=rsinθ⇒y=rsin(PT+θ) which is the equation of SHM.

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