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

Options

A. a circle
B. the figure of eight
C. a straight line
D. an ellipse

Answer

C

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`
It is an equation of a straight line