Given the equation x²/9 + y²/4 = 1 find the set of all points from which the angle of view^* of this ellipse is a right angle. What is the significance of this set of points?

Given the equation x²/9 - y²/4 = 1 find the set of all points from which the angle of view^* of this hyperbola is a right angle. What is the significance of this set of points?

* i.e. displaying a right angle between the two tangents.

(In reply to An asymptotic view (spoiler) by Harry)

If we consider the asymptotes +/-(b/a)x tangent to the hyperbola at the point/s at infinity, then I agree that the origin (0,0) is the only point in the locus when b = a.

Posted by Bractals on 2011-11-26 04:58:40