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Angle of view - Ellipse and Hyperbola (Posted on 2011-11-24) Difficulty: 3 of 5
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.

No Solution Yet Submitted by Jer    
Rating: 4.0000 (1 votes)

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Some Thoughts Further Thought | Comment 4 of 7 |

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
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