If and , then lie…

MATHEMATICS · Single correct · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

x\sin^3\theta+y\cos^3\theta=\sin\theta\cos\theta

and

x\sin\theta-y\cos\theta=0

, then

(x,y)

lie on (1) a circle (2) a parabola (3) an ellipse (4) a hyperbola