A particle is executing two different simple harmonic motions, mutually perpendiuclar, of different amplitudes and having phase difference of π2. The path of the particle will be
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a
circular
b
straight line
c
parabolic
d
Elliptical
answer is D.
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Detailed Solution
x=Acosωt and y=Bcos(ωt−π2)=Bsinωt∴ (xA)2+(yB)2=1⇒ Ellipse