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A particle is acted simultaneouosly be m...

A particle is acted simultaneouosly be mutually perpendicular simple harmonic motion `x= a cos omega t" and "y= a sin omega t`. 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= a cos omega t" and "y= a sin omega t`
Squaring and adding the both,
`x^(2)+y^(2) = a^(2) [ cos^(2) omega t+ sin omega^(2) t]`
`therefore x^(2)+y^(2)= a^(2)`
is a general formula of circle, its radius is a.
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