If the displacement equation of a particle be represented by $y = A\sin PT + B\cos PT$, the particle executes
A
A uniform circular motion
B
A uniform elliptical motion
C
A S.H.M.
D
A rectilinear motion
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C
A S.H.M.
c (c) $y = A\sin PT + B\cos PT$
Let $A = r\cos \theta ,$ $B = r\sin \theta $
$ \Rightarrow y = r\sin (PT + \theta )$ which is the equation of $SHM.$
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