If abscissa of orthocentre of a triangle inscribed in a rectangular hyperbola `xy=4` is `(1)/(2)`, then the ordinate of orthocentre of triangle is

The orthocentre of a right triangle is the _____

If a triangle has its orthocentre at (1,1) and circumcentre at (3/2,3/4) then the coordinate of the centroid of triangle is

If (x_(1),y_(1)),Q(x_(2),y_(2)),R(x_(3),y_(3)) and S(x_(4),y_(4)) are four concyclic points on the rectangular hyperbola ) and xy=c^(2), then coordinates of the orthocentre ofthe triangle PQR is

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

Show that the orthocentre of a triangle whose vertices lie on the hyperbola xy = c^(2) , also lies on the same hyperbola.

A triangle is inscribed in a circle of radius 1. The distance between the orthocentre and the circumcentre of the triangle cannot be

Find the orthocentre of the triangle formed by the coordinate axes and x+y=4 .