A triangle has its vertices on a rectangular hyperbola . Prove that the orthocenter of the triangle also lies on the same hyperbola.

A triangle has its vertices on a rectangular hyperbola. Prove that the orthocentre of the triangle also lies on the same hyperbola.

A triangle has its vertices on a rectangular hyperbola. Prove that the orthocentre of the triangle also lies on the same hyperbola.

A triangle has its vertices on a rectangular hyperbola.Prove that the orthocentre of the triangle also lies on the same hyperbola.

A triangle has its vertices on a rectangular hyperbola. Prove that the orthocentre of the triangle also lies on the same hyperbola.

A triangle has its vertices on a rectangular hyperbola. Prove that the orthocentre of the triangle also lies on the same hyperbola.

A triangle has its vertices on a rectangular hyperbola. Prove that the orthocentre of the triangle also lies on the same hyperbola.

Orthocenter of a Triangle

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