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

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

If lx+my+n=0 is a tangent to the rectangular hyperbola xy=c^(2) , then

At the point of intersection of the rectangular hyperbola xy=c^2 and the parabola y^2=4ax tangents to the rectangular hyperbola and the parabola make angles theta and phi , respectively with x-axis, then

The normal at three points P, Q, R on a rectangular hyperbola intersect at a point T on the curve. Prove that the centre of the hyperbola is the centroid of the triangle PQR.

The tangent at the point P of a rectangular hyperbola meets the asymptotes at L and M and C is the centre of the hyperbola. Prove that PL=PM=PC .

The eccentricity of a rectangular hyperbola, is

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

The length of the semi-transverse axis of the rectangular hyperbola xy=32 , is

The differential equation of the rectangular hyperbola whose axes are the asymptotes of the hyperbola, is

The vertices of triangleABC lie on a rectangular hyperbola such that the orhtocentre of the triangle is (2,3) and the asymptotes of the rectangular hyperbola are parallel to the coordinate axes. The two perpendicular tangents of the hyperbola intersect at the point (1, 1). Q. The equation of the rectangular hyperbola is