jee-main 2021 Q72

jee-main · India · session4_31aug_shift1 Simultaneous equations

If the following system of linear equations $2 x + y + z = 5$ $x - y + z = 3$ $x + y + a z = b$ has no solution, then :
(1) $a = - \frac { 1 } { 3 } , b \neq \frac { 7 } { 3 }$
(2) $a \neq \frac { 1 } { 3 } , b = \frac { 7 } { 3 }$
(3) $a \neq - \frac { 1 } { 3 } , b = \frac { 7 } { 3 }$
(4) $a = \frac { 1 } { 3 } , b \neq \frac { 7 } { 3 }$

If the following system of linear equations\\
$2 x + y + z = 5$\\
$x - y + z = 3$\\
$x + y + a z = b$\\
has no solution, then :\\
(1) $a = - \frac { 1 } { 3 } , b \neq \frac { 7 } { 3 }$\\
(2) $a \neq \frac { 1 } { 3 } , b = \frac { 7 } { 3 }$\\
(3) $a \neq - \frac { 1 } { 3 } , b = \frac { 7 } { 3 }$\\
(4) $a = \frac { 1 } { 3 } , b \neq \frac { 7 } { 3 }$

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