A hyperbola centred at the origin has one vertex at and eccentricity

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

Problem

A hyperbola centred at the origin has one vertex at

(7,0)

and eccentricity

\dfrac{5}{3}

. Which of the following are the equations of its asymptotes? (a)

y=\pm\dfrac{3}{4}x

(b)

y=\pm\dfrac{4}{3}x

(c)

y=\pm\dfrac{5}{3}x

(d)

y=\pm\dfrac{3}{5}x