The foci of a hyperbola are at and the length of its transverse axis is

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

Problem

The foci of a hyperbola are at (±9,0)(\pm 9,0) and the length of its transverse axis is 1212. Which of the following is its equation? (a) x245−y236=1\dfrac{x^{2}}{45}-\dfrac{y^{2}}{36}=1 (b) y236−x245=1\dfrac{y^{2}}{36}-\dfrac{x^{2}}{45}=1 (c) x236−y245=1\dfrac{x^{2}}{36}-\dfrac{y^{2}}{45}=1 (d) x236−y281=1\dfrac{x^{2}}{36}-\dfrac{y^{2}}{81}=1

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