Find an equation of the ellipse that has a center(0,5), a minor axis of length 8, and a vertex at (0,-1).
Solution.
Write equation of the ellipse
where is a center,
i - are axis.
Since the distance from the center of the ellipse to its vertex is 6, then The minor axis is 8, so
We will get
This is the equation of the ellipse. Let's simplify it:
Answer.
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