Identify the equations of lines through origin which intersect the line $\frac{x-3}{2}=\frac{y-3}{2}=\frac{z}{1}$ at an angle $\frac{\pi}{3}$.

A. $\frac{x}{1}=\frac{y}{2}=\frac{z}{-1}$
B. $\frac{x}{1}=\frac{y}{-2}=\frac{z}{1}$
C. $\frac{x}{-1}=\frac{y}{-1}=\frac{z}{-2}$
D. $\frac{x}{-1}=\frac{y}{1}=\frac{z}{-2}$

Choose the correct answer from the options given below:

B and C only

The correct answer is Option (4) - B and C only