Find the equation for the ellipse that satisfies the given conditions: b = 3, c = 4, centre at the origin; foci on the x axis.

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Solution

It is given that b = 3, c = 4, centre at the origin; foci on the x axis.

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, b = 3, c = 4.

It is known that.

Thus, the equation of the ellipse is.

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