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x and y displacements of a particle are ...

`x` and `y` displacements of a particle are given as `x(t)=-asinomegat` and `y(t)=asin2omegat`. Its trajectory will look like.

A

B

C

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The correct Answer is:
C

Here, `x=asinomegat`
`y=asin2omegat`
`y=2asinomegatcosomegat`
`y=2xsqrt(1-(x^(2))/(a^(2)))`
`y=(2)/(a)xsqrt((a-x)(a+x))`
`y=0`, at `x=0,pma`
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