Four points are such that the line joining any two points is perpendicular to the line joining other two points. If three point out of these lie on a

Monjur Alahi

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


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Correct Answer - A
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.

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