Which of the following cost curves is rectangular hyperbola ?

Obtain the differential equation which corresponds to each of the following family of curves. The rectangular hyperbolas which have the co-ordinate axes as asymptotes.

Hyperbola- Rectangular hyperbola

Equation of normal of rectangular hyperbola

The normal PG to a curve needs x axis in G if the distance of G from origin is twice the abscissa of p prove that the curve is rectangular hyperbola

Show that for rectangular hyperbola xy=c^(2)