If x a = y b and ax - by =a^2-b^2

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

\frac{x}{a\cos\theta}=\frac{y}{b\sin\theta}

and

\frac{ax}{\cos\theta}-\frac{by}{\sin\theta}=a^2-b^2,

then

(x,y)

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