The following system of linear equations |
\[7x+6y-2z=0\] |
\[3x+4y+2z=0\] |
\[3x+4y+2z=0\] |
\[x-2y-6z=0,\] has |
[JEE MAIN Held on 09-01-2020 Evening] |
A) Infinitely many solutions, \[(x,y,z)\] satisfying \[x=2z\]
B) No solution
C) Only the trivial solution
D) Infinitely many solutions, \[(x,y,z)\] satisfying \[y=2z\]
Correct Answer: A
Solution :
As \[\Rightarrow \] The system of equations has infinite trivial solutions. Also adding equations (1) and \[3(3)\] yield \[10x=20z\Rightarrow x=2z\]You need to login to perform this action.
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