nitish
Last Activity: 8 Years ago
actually in these type of questions we need to eliminate the parametic terms
in this case we need to eliminate the cosx and sinx terms.
so, i can write
X=a(cosx+sinx) => X/a=(cosx+sinx) ------->(1)
and Y/b=(cosx-sinx)--------->(2)
squaring and adding equations (1) and (2);
(X/a)^2+(Y/b)^2=2
hence it represents an ellipse.
i hope you understand.