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Question

Find the equation for the ellipse that satisfies the given conditions: Foci (±3, 0), a = 4

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Solution

Foci (±3, 0), a = 4

Since the foci are on the x-axis, the major axis is along the x-axis.

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

Accordingly, c = 3 and a = 4.

It is known that.

Thus, the equation of the ellipse is.


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