Motion, of a particle can be described in x-direction by x=a sin `omegat` and y-direction by y=b cos `omegat.` The particle is moving on

Options

A. a circular path of radius 'a'.
B. a circular path of radius 'b'.
C. an elliptical path.
D. a straight line.

Answer

C

Explanation

`sin^(2) omegat +cos^(2) omegat =(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`