Mathematics

Problem

Which of the following expressions correctly gives the semi-conjugate axis

b

of a hyperbola in terms of the semi-transverse axis

a

and eccentricity

e

? a)

b=a\sqrt{1-e^{2}}

b=\dfrac{a}{\sqrt{e^{2}-1}}

b=a\sqrt{e^{2}-1}

b=a\sqrt{e^{2}+1}