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 circu lar path
C. a parabolic path
D. a straight line path equally inclined to x and y-axes

Answer

b

Explanation

`(x^(2))/(a^(2))=sin2 omegat` and `(y^(2))/(a^(2))=cos^(2)omegat`
`therefore (x^(2))/(a^(2))+(y^(2))/(a^(2))=1`
`x^(2)+y^(2)=a^(2)`
Thus, particle follows circu lar path.