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I am posting the following question under homework category. I hope I will have very good answer from mathematicians about conic sections.

I have seen closely the conic sections and their properties. I have seen this result in hyperbola. In this I would like to increase eccentricity (e) of hyperbola gradually. i.e., if eccentricity of hyperbola is large, then hyperbola becomes a straight line. How and why? Could you explain please?

Also, I would like to know if we can apply the same for the ellipse as well as the parabola. If yes, what result can we obtain?

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    What is the actual homework problem you're trying to solve?2011-11-02

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