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A particle is acted simultaneously by mu...

A particle is acted simultaneously by mutually perpendicular simple harmonic motions `x=acos omegat and y =asinomegat.` The trajectory of motion of the particle will be

A

an ellipse

B

a parabola

C

a circle

D

a straight line.

Text Solution

Verified by Experts

The correct Answer is:
C
`x^(2)+y^(2)=a^(2)[cos^(2)omegat+sin^(2)omegat]` `Rightarrow` `x^(2)+y^(2)=a^(2)`, which is equation of a circle.
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