Find the radius of curvature of a rectangular hyperbola `xy = c^2`

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

Hyperbola- Rectangular hyperbola

Find radius of curvature of common surface

Equation of normal of rectangular hyperbola

Equation of tangent of rectangular hyperbola

If PN is the perpendicular from a point on a rectangular hyperbola xy=c^(2) to its asymptotes,then find the locus of the midpoint of PN

The parametric form of rectangular hyperbola xy=c^(2)

The coordinates of a point on the rectangular hyperbola xy=c^(2) normal at which passes through the centre of the hyperbola are