If the system of linear equations :$x+2ay+az=0,x+3by+bz=0,x+4cy+cz=0$ has a zero solutions then $a,b,c$

Question

$\begin{array}{1 1}(A)\;\text{are in G.P}&(B)\;\text{are in H.P}\\(C)\;\text{satisfy a+2b+3c=0}&(D)\;\text{are in A.P}\end{array}$