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A particle moves in x-y plane according ...

A particle moves in x-y plane according to rule `x=asin omegat` and `y=-acosomegat`. The particle follows

A

an elliptical path

B

a circular path

C

a parabolic path

D

a straight line path inclined equal to x and y-axis

Text Solution

Verified by Experts

The correct Answer is:
B
`x=asinomegatimpliessinomegat=x//a`
`y=acosomegatimpliescosomegat=y//a`
`sin^2omegat+cos^2omegat=1`
`x^2+y^2=a^2` (circle)
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