SOLUTION: Find an equation for the conic described: Ellipse: center at (0,0); focus at (0,3); vertex at (0,5)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find an equation for the conic described: Ellipse: center at (0,0); focus at (0,3); vertex at (0,5)      Log On


   



Question 1032862: Find an equation for the conic described:
Ellipse: center at (0,0); focus at (0,3); vertex at (0,5)

Found 2 solutions by robertb, ikleyn:
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Here, a = 5, c = 3, and b is unknown.
==> a%5E2+=+b%5E2+%2B+c%5E2 for an ellipse ==> 25+=+b%5E2+%2B+9 ==> b%5E2+=+16.
The equation of the ellipse would be x%5E2%2Fb%5E2+%2B+y%5E2%2Fa%5E2+=+1, since the major axis is along the y-axis.
==> the equation of the ellipse is x%5E2%2F16+%2B+y%5E2%2F25+=+1.

Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find an equation for the conic described:
Ellipse: center at (0,0); focus at (0,3); vertex at (0,5)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

For better understanding the solution given by Robertb read this lesson

Ellipse definition, canonical equation, characteristic points and elements in this site.