Four points are such that the line joining any two points is perpendicular to the line joining other two points. If three points out of these lie on a rectangular hyperbola, then the fourth point will lie on the saem hyperbola the conjugate hyperbola one of the directrix one of the asymptotes

Options

A. the same hyperbola
B. the conjugate hyperbola
C. one of the directrix
D. one of the asymptotes

Answer

A

Explanation

The point are such that one of the points is the orthocenter of the triangle formed by other three points. When the vertices of a triangle lie on a rectangular hyperbola, the orthocenter also lies on the same hyperbola.