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

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) (Show Source): You can put this solution on YOUR website!
Here, a = 5, c = 3, and b is unknown.
==> for an ellipse ==> ==> .
The equation of the ellipse would be , since the major axis is along the y-axis.
==> the equation of the ellipse is .
Answer by ikleyn(52800) (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)
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For better understanding the solution given by Robertb read this lesson

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

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