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A triangle has its vertices on a rectangular hyperbola. Prove that the orthocentre of the triangle also lies on the same hyperbola.
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Practice questions from similar books
Question 1
If the foci of a hyperbola lie on and one of the asymptotes is then the equation of the hyperbola, given that it passes through (3, 4), is (a)
(b)
(c)
(d)none of theseQuestion 2
An ellipse intersects the hyperbola orthogonally. The eccentricity of the ellipse is reciprocal to that of the hyperbola. If the axes of the ellipse are along the coordinate axes, then (b) the foci of ellipse are (a) equation of ellipse is (d) the foci of ellipse are (c) equation of ellipse is 
| Question Text | A triangle has its vertices on a rectangular hyperbola. Prove that the orthocentre of the triangle also lies on the same hyperbola. |
