SOLUTION: Find the standard form of the equation of the ellipse with the given characteristics foci: (2,5),(2,11) endpoints of the major axis: (2,4),(2,12)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the standard form of the equation of the ellipse with the given characteristics foci: (2,5),(2,11) endpoints of the major axis: (2,4),(2,12)      Log On


   

Question 444732: Find the standard form of the equation of the ellipse with the given characteristics
foci: (2,5),(2,11) endpoints of the major axis: (2,4),(2,12)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The center is the midpoint of the foci (2, 8).
c = 11 - 8, or 8 - 5 = 3
a = 12 - 8, or 8 - 4 = 4
==> b%5E2+=+a%5E2+-+c%5E2+=+16+-+9+=+7
Hence the standard equation of the ellipse is %28x-2%29%5E2%2F7+%2B+%28y+-+8%29%5E2%2F16+=+1.