The fouce of the rectangular hyperbola `(x-h) (y-k) =p^(2) ` is

The vertex of the rectangular hyperbola (x-h)(y-k)=p^(2) is

The focus of the rectangular hyperbola (x+4)(y-4)=16 is

The focus of rectangular hyperbola (x-a)*(y-b)=c^(2) is

From a point P, tangents are drawn to the hyperbola 2xy = a^(2) . If the chord of contact of these tangents touches the rectangular hyperbola x^(2) - y^(2) = a^(2) , prove that the locus of P is the conjugate hyperbola of the second hyperbola.

A normal to the parabola y^(2)=4ax with slope m touches the rectangular hyperbola x^(2)-y^(2)=a^(2) if

Hyperbola- Rectangular hyperbola

The equation of the chord joining the points (x_(1) , y_(1)) and (x_(2), y_(2)) on the rectangular hyperbola xy = c^(2) is :

If the normal to the rectangular hyperbola x^(2) - y^(2) = 4 at a point P meets the coordinates axes in Q and R and O is the centre of the hyperbola , then

If the normal at P to the rectangular hyperbola x^(2) - y^(2) = 4 meets the axes of x and y in G and g respectively and C is the centre of the hyperbola, then 2PC =

If P is a point on the rectangular hyperbola x^(2)-y^(2)=a^(2),C is its centre and S,S ,are the two foci,then the product (SP.S'P)=