The locus of the intersection of the two lines \(\rm \sqrt{3}x - y = 4k\sqrt{3}\) and \(\rm k\left(\sqrt{3}x + y\right)=4\sqrt{3}\), for different values of k, is a hyperbola. The eccentricity of the hyperbola is:

The locus of the intersection of the two lines \(\rm \sqrt{3}x - y =

1.	The locus of the intersection of the two lines \(\rm \sqrt{3}x - y = 4k\sqrt{3}\) and \(\rm k\left(\sqrt{3}x + y\right)=4\sqrt{3}\), for different values of k, is a hyperbola. The eccentricity of the hyperbola is:
A.	1.5
B.	\(\sqrt{3}\)
C.	2
D.	\(\frac{\sqrt{3}}{2}\)
Answer» D. \(\frac{\sqrt{3}}{2}\)