jee-main 2021 Q69

jee-main · India · session1_24feb_shift1 Matrices Linear System and Inverse Existence

The system of linear equations $3 x - 2 y - k z = 10$ $2 x - 4 y - 2 z = 6$ $x + 2 y - z = 5 m$ is inconsistent if:
(1) $k = 3 , \quad m \neq \frac { 4 } { 5 }$
(2) $k = 3 , \quad m = \frac { 4 } { 5 }$
(3) $k \neq 3 , \quad m \in R$
(4) $k \neq 3 , \quad m \neq \frac { 4 } { 5 }$

The system of linear equations\\
$3 x - 2 y - k z = 10$\\
$2 x - 4 y - 2 z = 6$\\
$x + 2 y - z = 5 m$\\
is inconsistent if:\\
(1) $k = 3 , \quad m \neq \frac { 4 } { 5 }$\\
(2) $k = 3 , \quad m = \frac { 4 } { 5 }$\\
(3) $k \neq 3 , \quad m \in R$\\
(4) $k \neq 3 , \quad m \neq \frac { 4 } { 5 }$

Paper Questions

Q61 Q62 Q63 Q64 Q65 Q66 Q67 Q68 Q69 Q70