The asymptotes of a horizontal hyperbola have equations

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

Problem

y=\pm 2x

. If the hyperbola passes through the vertex

(6,0)

, what is the value of

b

in its standard form

\dfrac{x^{2}}{a^{2}}-\dfrac{y^{2}}{b^{2}}=1

? (a)

6\sqrt{2}

(b)

12

(c)

3

(d)

6