Find the equation for the ellipse that satisfies the given conditions: Vertices (0, ±13), foci (0, ±5)

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Solution

Vertices (0, ±13), foci (0, ±5)

Here, the vertices are on the y-axis.

Therefore, the equation of the ellipse will be of the form, where a is the semi-major axis.

Accordingly, a = 13 and c = 5.

It is known that.

Thus, the equation of the ellipse is.

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