SOLUTION: Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10.

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Question 777415: Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10.

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10.
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Given ellipse has a vertical major axis. (gleaned from given foci coordinates)
Its standard form of equation. , a>b, (h,k)=coordinates of center
..
given length of vertical major axis=10=2a
a=5
a^2=25
b=3 (distance from center to foci)
b^2=9
Equation of given ellipse:

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