Question

Given the hyperbola (x^2/4) – (y^2/9) = 1, find the equations for its asymptotes.

Answer 1

A.
x = (1/3)y, x = (–1/3)y

B.
y = (3/2)x, y = (–3/2)x

C.
y = (1/3)x, y = (–1/3)x

D.
x = (3/2)y, x = (–3/2)y

Answer 2

Eq. of asymptotes (for right/left hyperbola):
\[y= \pm \frac{b}{a}x\]
so here, asymptotes :
\[y= \pm \frac{3}{2}x\]