jee-main 2018 Q79

jee-main · India · 15apr Simultaneous equations

Let $S$ be the set of all real values of $k$ for which the system of linear equations $x + y + z = 2$ $2 x + y - z = 3$ $3 x + 2 y + k z = 4$ has a unique solution. Then, $S$ is :
(1) equal to $R - \{ 0 \}$
(2) an empty set
(3) equal to $R$
(4) equal to $\{ 0 \}$

Let $S$ be the set of all real values of $k$ for which the system of linear equations\\
$x + y + z = 2$\\
$2 x + y - z = 3$\\
$3 x + 2 y + k z = 4$\\
has a unique solution. Then, $S$ is :\\
(1) equal to $R - \{ 0 \}$\\
(2) an empty set\\
(3) equal to $R$\\
(4) equal to $\{ 0 \}$

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