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Questions  

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 

a
circular
b
straight line
c
parabolic
d
Elliptical

detailed solution

Correct option is D

x=Acos⁡ωt and y=Bcos⁡(ωt−π2)=Bsin⁡ωt∴ (xA)2+(yB)2=1⇒ Ellipse

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