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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 equally to x and y

Text Solution

Verified by Experts

The correct Answer is:
B
x=a sin cod , y =a cos `omega` t
Squarc and adding both sides
`x^(2)+y^(2)=a^(1) sin^(2)cot + a^(2) cos ^(2) cot =a^(2)`
`implies x^(2)-y^(2)=a^(2)implies` "circle"
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