The values of \( k \in R \) for which the system of equations \( x+k y+3 z=0, k x+2 y+2 z=0,2 x+....

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The values of \( k \in R \) for which the system of
\( \mathrm{P} \)
equations \( x+k y+3 z=0, k x+2 y+2 z=0,2 x+3 y \) \( +4 z=0 \) has non-trivial solution are
(1) 2
(2) \( \frac{5}{2} \)
(3) 3
(4) \( \frac{5}{4} \)


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