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Question
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 :
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 :
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Solution
The correct option is A the same hyperbola
The points are such that one of the points is the orthocentre of the triangle formed by other three points.
We know that "When a rectangular hyperbola circumscribes a triangle then it also passes through the orthocentre of the triangle"
So, when the vertices of a triangle lie on a rectangular hyperbola the orthocentre also lies on the same hyperbola.
The points are such that one of the points is the orthocentre of the triangle formed by other three points.
We know that "When a rectangular hyperbola circumscribes a triangle then it also passes through the orthocentre of the triangle"
So, when the vertices of a triangle lie on a rectangular hyperbola the orthocentre also lies on the same hyperbola.
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