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.

Given the curve (ellipse or hyperbola) with its foci F_1 and F_2 and point P_1 on the curve, can you construct (with straightedge and compass) a point P_2 on the curve such that the tangents to the curve at points P_1 and P_2 are orthogonal?

Posted by Bractals on 2011-11-26 05:13:04