The compostion of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of `pi` results in the displacement of the particle along :

Options

A. a circle
B. an ellipse
C. the figure of eighta
D. a striaght line

Answer

D

Explanation

`x=a sin omega t and y= b sin(omega t+pi)=-b sin omega t`
(or) `(x)/(a)=-(y)/(b)(or) y=-(b)/(a)x`
Its is an equation of a straight line.