If the following three linear equations have a non-trivial solution, then
$$
\begin{aligned}
&x+4 a y+a z=0 \\
&x+3 b y+b z=0 \\
&x+2 c y+c z=0
\end{aligned}
$$
(A) \(a, b, c\) are in A.P.
(B) \(a, b, c\) are in G.P
(C) \(a, b, c\) are in H.P.
(D) \(a+b+c=0\)