A hyperbola has its foci at

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

Problem

A hyperbola has its foci at (0,±13)(0,\pm 13), and the constant difference of distances from any point on the curve to the foci is 1010. Which of the following is its standard equation? (a) y225−x2169=1\dfrac{y^{2}}{25}-\dfrac{x^{2}}{169}=1 (b) y2144−x225=1\dfrac{y^{2}}{144}-\dfrac{x^{2}}{25}=1 (c) y225−x2144=1\dfrac{y^{2}}{25}-\dfrac{x^{2}}{144}=1 (d) x225−y2144=1\dfrac{x^{2}}{25}-\dfrac{y^{2}}{144}=1

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