Find the values of $k$ for which the line $(k-3)x-(4-k^2)y+k^2-7k+6=0$ is passing through the origin.

Question

$\begin {array} {1 1} (A)\;k=-6 \: or \: k = 1 & \quad (B)\;k=6 \: or \: k =-1 \\ (C)\;k= -6 \: or \: k =-1 & \quad (D)\;k = 6 \: or \: k =1 \end {array}$