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The equations x + y-2z = 0, 2x-3y-z=0,x-...

The equations `x + y-2z = 0, 2x-3y-z=0,x-5y +4z= k` have non-zero solutions if `k=`

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Knowledge Check

  • The equations x+y+z=0,2x-y-3z=0,3x-5y+4z=0 have

    A
    unique solution
    B
    Infinitely many solutions
    C
    no solution
    D
    none

  • The equations x+y+z =0,x + 2y-4z = 0,2x - y - z =0 have

    A
    no solution
    B
    infinity many solution
    C
    unique solution
    D
    none

  • x+ky-z=0 , 3x-ky-z=0 and x-3y+z=0 has non-zero solution for k=

    A
    `-1`
    B
    0
    C
    1
    D
    2

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    If the system of equations x+ky-z=0,3x-ky-z=0,3x-ky-z=0 and x-3y+z=0 has non-zero solution, then k is equal to

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