The system of equations \[ \begin{array}{l} \mathrm{kx}+(\mathrm{k}+1) \mathrm{y}+(\mathrm{k}-1)....

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The system of equations
P
\[
\begin{array}{l}
\mathrm{kx}+(\mathrm{k}+1) \mathrm{y}+(\mathrm{k}-1) \mathrm{z}=0 \\
(\mathrm{k}+1) \mathrm{x}+\mathrm{ky}+(\mathrm{k}+2) \mathrm{z}=0 \\
(\mathrm{k}-1) \mathrm{x}+(\mathrm{k}+2) \mathrm{y}+\mathrm{kz}=0
\end{array}
\]
has a non-trivial solution for-
(A) exactly three real values of \( \mathrm{k} \).
(B) exactly two real values of \( \mathrm{k} \).
(C) exactly one real value of \( \mathrm{k} \).
(D) infinite number of values of \( \mathrm{k} \).


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