If \( p q r \neq 0 \) and the system of equations \[ \begin{array}{...

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If \( p q r \neq 0 \) and the system of equations
\[
\begin{array}{r}
(p+a) x+b y+c z=0 \\
a x+(q+b) y+c z=0 \\
a x+b y+(r+c) z=0
\end{array}
\]
has a non-trivial solution, then value of \( \frac{a}{p}+\frac{b}{q}+\frac{c}{r} \) is
(a) \( -1 \)
(b) 0
(c) 1
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