Mathematics

Problem

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

y

-axis is

14

units long, and its eccentricity is

\dfrac{\sqrt{5}}{2}

. Which of the following is the equation of this hyperbola? a)

\dfrac{x^{2}}{196}-\dfrac{y^{2}}{49}=1

\dfrac{y^{2}}{49}-\dfrac{x^{2}}{196}=1

\dfrac{y^{2}}{196}-\dfrac{x^{2}}{196}=1

\dfrac{y^{2}}{196}-\dfrac{x^{2}}{49}=1