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The motion of a particle varies with time according to the relation y=2sinωt+2cosωt, then

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a
The motion is oscillatory but not S.H.M.
b
The motion is S.H.M. with amplitude 2
c
The motion is S.H.M. with amplitude 2
d
The motion is S.H.M. with amplitude 4

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detailed solution

Correct option is C

R=a2+b2+2abcosϕThe given equation can be written as y=asinωt+bsinωt+π2 Here ϕ=π2R=a2+b2+2abcos⁡π2R=a2+b2=a2+a2=a2


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