SOLUTION: find an equation of the ellipse with center at the origin. Given Foci: ( +-5,0); Major axis of length 12

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: find an equation of the ellipse with center at the origin. Given Foci: ( +-5,0); Major axis of length 12      Log On


   



Question 641055: find an equation of the ellipse with center at the origin.
Given Foci: ( +-5,0); Major axis of length 12

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find an equation of the ellipse with center at the origin.
Given Foci: ( +-5,0); Major axis of length 12
**
Equation is that of an ellipse with horizontal major axis with center at (0,0)
Its standard form: x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1
..
Given length of horizontal major axis=12=2a
a=6
a^2=36
..
Given Foci=±5
c=5
c^2=25
..
c^2=a^2-b^2
b^2=a^2-c^2=36-25=11
..
Equation of given ellipse:
x%5E2%2F36%2By%5E2%2F11=1