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Math Help - degenerate

  1. #1
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    Question degenerate

    What degenerate form or forms of the parabola CANNOT be obtained from the intersection of a plane and a double napped cone?

    I have to use a diagram and give complete description how to obtain this ( or these) form(s)

    how would I do this question ?
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  2. #2
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    Quote Originally Posted by brandy View Post
    What degenerate form or forms of the parabola CANNOT be obtained from the intersection of a plane and a double napped cone?

    I have to use a diagram and give complete description how to obtain this ( or these) form(s)

    how would I do this question ?
    A degeneate is a the empty set (no intersection which seems impossible), a pairs of intersecting lines or a point. The way you get a pair of intersection lines is by passing a plane perpendicular to the cone base, but that is a type of hyperbola shape. So that point is the only thing you can get, by passing a plane parrallel with with the side of the cone through the vertex of the double cone.

    This is mine 33th Post!!!
    Last edited by ThePerfectHacker; November 15th 2006 at 02:00 PM.
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  3. #3
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    ???

    I am a little bit confused what diagram would I use?
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