Question

can parabola be called an ellipse with one focus at infinity?
can parabola be called an ellipse with one focus at infinity?
@Mathematics

Answer 1

I believe not...because a parabola could never truly take an elliptical form.

Answer 2

both have different eccentricity, right??
other differences too are there.. but i don't get this lines from WIKIPEDIA

"A parabola may also be characterized as a conic section with an eccentricity of 1. As a consequence of this, all parabolae are similar, meaning that while they can be different sizes, they are all the same shape. A parabola can also be obtained as the limit of a sequence of ellipses where one focus is kept fixed as the other is allowed to move arbitrarily far away in one direction. In this sense, a parabola may be considered an ellipse that has one focus at infinity. The parabola is an inverse transform of a cardioid." -

http://en.wikipedia.org/wiki/Parabola

PLEASE EXPLAIN.

Answer 3

try this awesome site http://patrickjmt.com/conic-sections-parabolas-part-1/