A hyperbola has semi-transverse axis and eccentricity

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

Problem

A hyperbola has semi-transverse axis

a=5\,\text{cm}

and eccentricity

e=2

. Calculate the length of its semi-conjugate axis

b

(in cm). (a)

5\sqrt{2}

(b)

5\sqrt{3}

(c)

3\sqrt{5}

(d)

5\sqrt{5}