Question

Write the equation of an ellipse with vertices (10, 0) and (-10, 0) and co-vertices (0, 2) and (0, -2)??

Answer 1

http://www.purplemath.com/modules/ellipse3.htm

Answer 2

vertices are at \((-1,0)\) and \((10,0)\) so the center should be at the origin right?

Answer 3

Yes, but it is (-10,0) and (10,0)

Answer 4

yeah, that was a typo

Answer 5

since the center is exactly half way between them it must be at \((0,0)\) so you know it is going to look like
\[\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\]

Answer 6

and you are basically given \(a \) and \(b\) in the question
do you know what they are?

Answer 7

@satellite73 is A the vertices, and B the co vertices?

Answer 8

\(a\) is a number, the distance between the center and the vertices
in this case \(a=10\) and similarly \(b=2\)

Answer 9

so then the final answer will be x^2/100+y^2/4?
@satellite73

Answer 10

if you write
\[\frac{x^2}{100}+\frac{y^2}{4}=1\] then yes

Answer 11

don't forget the \(=1\) part !!

Answer 12

Thank you

Answer 13

yw