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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: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: An asymptotic view (spoiler) | Comment 3 of 10 |
(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
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