Number of real values of \( \lambda \) for which the system of equa...

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Number of real values of \( \lambda \) for which the system of equations
\[
\begin{aligned}
(\lambda+3) x+(\lambda+2) y+z & =0 \\
3 x+(\lambda+3) y+z & =0 \\
2 x+3 y+z & =0
\end{aligned}
\]
has a non-trivial solutions is
(a) 0
(b) 1
(c) 2
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