A particle moves in x-y plane according to ru le x`=a sin omegat` and y=`a cos omegat`. The particles follows:

Options

A. An elliptical path
B. A circular path
C. A parabolic path
D. A straight line path equally to x and y-axis

Answer

B

Explanation

`x=asinomegat" , " y=acosomegat`
`x^(2)+y^(2)=a^(2)(sin^(2)omegat+cos^(2)omegat)`
`implies x^(2)+y^(2)=a^(2)`
Hence, path is circular.