jee-main 2020 Q60

jee-main · India · session1_09jan_shift2 3x3 Matrices Linear System Existence and Uniqueness via Determinant

The following system of linear equations $7 x + 6 y - 2 z = 0$ $3 x + 4 y + 2 z = 0$ $x - 2 y - 6 z = 0$, has
(1) infinitely many solutions, ( $x , y , z$ ) satisfying $y = 2z$
(2) no solution
(3) infinitely many solutions, $( x , y , z )$ satisfying $x = 2z$
(4) only the trivial solution

The following system of linear equations\\
$7 x + 6 y - 2 z = 0$\\
$3 x + 4 y + 2 z = 0$\\
$x - 2 y - 6 z = 0$, has\\
(1) infinitely many solutions, ( $x , y , z$ ) satisfying $y = 2z$\\
(2) no solution\\
(3) infinitely many solutions, $( x , y , z )$ satisfying $x = 2z$\\
(4) only the trivial solution

Paper Questions

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