Correct Answer - A
Here, `x=2 sin omegat :. (x)/(2)=sin omegat`
`y=2sin (omegat+(pi)/(4))`
`:. (y)/(2)=sin omegat cos ((pi)/(4))+cosomegat sin((pi)/(4))`
`(y)/(2)=((x)/(2))((1)/(sqrt(2)))+sqrt(1-(x^(2))/(4))xx(1)/(sqrt(2))`
Squaring both sides, we shall get a relation which represents an ellipse