The values of \( k \in R \) for which the following system of equations admits of non-trivial so...

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The values of \( k \in R \) for which the following system of equations admits of non-trivial solution is
\[
x+k y+3 z=0, k x+2 y+2 z=0,2 x+3 y+4 z=0
\]
(A) \( 2,5 / 2 \)
(B) \( 3,5 / 4 \)
(C) \( 2,5 / 4 \)
(D) None of these
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