The lines \(\frac{x-1}{k}=\frac{y-4}{2}=\frac{z-5}{1}\) and \(\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-k}\) are coplanar if the value of \(k\) is

\(2\) \(-2\) \(1\) \(-3\)

\(-3\)

Recall the coplanarity condition for two lines.