Consider the vertical hyperbola

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

Problem

\dfrac{y^{2}}{36}-\dfrac{x^{2}}{16}=1

. Which pair of lines represents its asymptotes? (a)

y=\pm\dfrac{2}{3}x

(b)

y=\pm\dfrac{3}{2}x

(c)

x=\pm\dfrac{3}{2}y

(d)

y=\pm\dfrac{\sqrt{13}}{2}x