For what value of $k$ do the following homogeneous system of equations posses a non-trivial.$x+ky+3z=0,3x+ky-2z=0,2x+3y-4z=0$

Question

(A) $k=1$ (B) $k=3$ (C) $k=\large\frac{22}{2}$ (D) $k=\large\frac{33}{2}$