Write the equation of an ellipse centered at the origin

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1. Write the equation of an ellipse centered at the origin, with a = 8, b = 5, and the major axis on the y-axis.

2. Explain how to determine whether the foci of an ellipse lie on the horizontal or vertical axis of an ellipse.

3. Describe the result when the foci and center of an ellipse coincide and give the eccentricity of such an ellipse.

Reference no: EM131350312

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