1WHAT ARE LONDON FORCES
A rectangular hyperbola passes through two fixed points and its assymptotes are in given directions.prove that its vertices lie on an ellipse and hyperbola which intersect orthogonally
-
UP 0 DOWN 0 0 3
3 Answers
66I don't exactly get the question. The rectangular hyperbola would be xy=c2, taking the asymptotes (which are at right angles) as the axes. The vertices of this rectangular hyperbola are
(c/√2, c/√2) and (-c/√2, - c/√2)
We can obviously make these points lie on any curve. What's the point of saying that these points lie on an ellipse and a hyperbola that intersect orthogonally.
