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

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

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)

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

(c)

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

(d)

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