jee-main 2023 Q71

jee-main · India · session2_15apr_shift1 Simultaneous equations

Let the system of linear equations $- x + 2 y - 9 z = 7$ $- x + 3 y + 7 z = 9$ $- 2 x + y + 5 z = 8$ $- 3 x + y + 13 z = \lambda$ has a unique solution $x = \alpha , y = \beta , z = \gamma$. Then the distance of the point $( \alpha , \beta , \gamma )$ from the plane $2 x - 2 y + z = \lambda$ is
(1) 11
(2) 7
(3) 9
(4) 13

Let the system of linear equations\\
$- x + 2 y - 9 z = 7$\\
$- x + 3 y + 7 z = 9$\\
$- 2 x + y + 5 z = 8$\\
$- 3 x + y + 13 z = \lambda$\\
has a unique solution $x = \alpha , y = \beta , z = \gamma$. Then the distance of the point $( \alpha , \beta , \gamma )$ from the plane $2 x - 2 y + z = \lambda$ is\\
(1) 11\\
(2) 7\\
(3) 9\\
(4) 13

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