Important results of rectangular hyperbola

The differential equation of rectangular hyperbolas whose axes are asymptotes of the hyperbola x^2 - y^2= a^2 , is :

The differential equation of rectangular hyperbolas whose axes are asymptotes of the hyperbola x^2 - y^2= a^2 , is :

The vertices of Delta ABC lie on a rectangular hyperbola such that the orthocenter of the triangle is (3, 2) 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). The equation of the rectangular 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

Equation of tangent of rectangular hyperbola

The asymptotes of a rectangular hyperbola intersect at an angle