Given 3 points in a x-y-axis, how many hyperbolas are possible?

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One, or more than one?

2007-08-30 02:57:02 · 2 answers · asked by RogerDodger 1 in Science & Mathematics ➔ Mathematics

x-y axis = plane?

2007-08-30 03:16:46 · update #1

One person says one, one person says ∞.

2007-08-30 03:41:07 · update #2

There is an infinite number of hyperbolas through three points.
You can add to the points one asymptote not passing though the points

2007-08-30 03:27:39 · answer #1 · answered by santmann2002 7 · 0⤊ 0⤋

I think you mean a plane, rather than an axis. Three distinct points uniquely determine a conic in the plane. So the answer is one.

2007-08-30 10:04:38 · answer #2 · answered by acafrao341 5 · 0⤊ 0⤋