The conjugate axis of a hyperbola with centre at the origin and transverse axis along…

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

Problem

The conjugate axis of a hyperbola with centre at the origin and transverse axis along the yy-axis is 1414 units long, and its eccentricity is 52\dfrac{\sqrt{5}}{2}. Which of the following is the equation of this hyperbola? (a) x2196−y249=1\dfrac{x^{2}}{196}-\dfrac{y^{2}}{49}=1 (b) y249−x2196=1\dfrac{y^{2}}{49}-\dfrac{x^{2}}{196}=1 (c) y2196−x2196=1\dfrac{y^{2}}{196}-\dfrac{x^{2}}{196}=1 (d) y2196−x249=1\dfrac{y^{2}}{196}-\dfrac{x^{2}}{49}=1

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