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Degenerate Cases

As mentioned before, slicing the double-napped cone can also result in creation of one of the three degenerate conics: a point, a straight line or a pair of straight lines.
In the previous pages, you briefly saw how the degenerate conics are formed from slicing the double-napped cone.
In the following action figure, practice slicing the double-napped cone to review when each of the degenerate conics is formed.
When you are finished, answer the questions in the question box below to check your understanding of how the double-napped cone can be sliced to create each of the degenerate conics.
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How does this applet work?
What do m and b represent?


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