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?