?Find an equation for the conic that satisfies the given conditions.Ellipse, foci \((0

Chapter 9, Problem 40

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QUESTION:

Find an equation for the conic that satisfies the given conditions.

Ellipse, foci \((0, \ \pm \sqrt{2})\),    vertices \((0, \pm 2)\)

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QUESTION:

Find an equation for the conic that satisfies the given conditions.

Ellipse, foci \((0, \ \pm \sqrt{2})\),    vertices \((0, \pm 2)\)

ANSWER:

Step 1 of 4

foci  vertices

These points all have the same -coordinates, so the ellipse has a vertical major axis.

The center is midway between the vertices  and  [and also the foci]:

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