Class 11

Math

Co-ordinate Geometry

Conic Sections

A point $P$
moves such that the chord of contact of the pair of tangents from $P$
on the parabola $y_{2}=4ax$
touches the rectangular hyperbola $x_{2}−y_{2}=c_{2}˙$
Show that the locus of $P$
is the ellipse $c_{2}x_{2} +(2a)_{2}y_{2} =1.$