For an ellipse

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

For an ellipse, the vertices are (0, ±8)(0,\,\pm8) and the foci are (0, ±5)(0,\,\pm5). Which of the following equations represents this ellipse? (a) x225+y264=1\dfrac{x^{2}}{25}+\dfrac{y^{2}}{64}=1 (b) x239+y225=1\dfrac{x^{2}}{39}+\dfrac{y^{2}}{25}=1 (c) x239+y264=1\dfrac{x^{2}}{39}+\dfrac{y^{2}}{64}=1 (d) x264+y239=1\dfrac{x^{2}}{64}+\dfrac{y^{2}}{39}=1

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