Question

Elipses and Hyperbolas.

Answer 1

well they both have a center

Ellipse: (x-h)^2/a^2+(y-k)^2/b^2=1
center is (h,k)

Hyperbola: (x-h)^2/a^2-(y-k)^2/b^2=1 or (y-k)^2/b^2-(x-h)^2/a^2=1
center is (h,k)

Answer 2

so that's one similarity

Answer 3

they both have focii, 2 focii to be exact

Answer 4

hyperbolas have asymptotes, while ellipses do not

Answer 5

so in a sense, hyperbolas go on forever while ellipses are finite (in a way)

Answer 6

ellipses are defined to be the locus of points such that the sum of the two lengths L1 and L2 are constant

these lengths are the lengths from a given point P on the ellipse to a certain focus


while on the other hand, hyperbolas are defined to be the locus of points where the difference of the two distances is constant

Answer 7

I'm sure you can find more comparisons/differences by reading articles about the two

something like this: http://mathworld.wolfram.com/Ellipse.html

Answer 8

oh, gosh i did not have those either. thanx :)

Answer 9

hyperbola is different from the parabola
1)eccentricity is e >1
2) has two asymtotic lines
3) two axis Major and minor
4)equation of both are different in case of parabola one linear term is always required (y=4ax^2 , 4ax=y^2,) while in parabola always square terms are required .