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

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asked Feb 9, 2018 in Mathematics by Rohit Singh (61,782 points) ● 35 ● 133 ● 356
Find the equation for the ellipse that satisfies the given conditions: Vertices (0, ±13), foci (0, ±5)

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answered Feb 9, 2018 by sameer (82,980 points) ● 5 ● 11 ● 37

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 x2/b2 +y2/a2=1 , where a is the semi-major axis.
Accordingly, a = 13 and c = 5.

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