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STATEMENT-1 : The system of equations x ...

STATEMENT-1 : The system of equations x + ky + 3z =0, 3x + ky - 2z =0, 2x+3y-z=0, possesses a non-trival solution.
then value of k is `31/2`
STATEMENT -2 Three linear equations in x, y, z can never have no solution if it is homogeneous, hence exactly two types of possible solution.

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Knowledge Check

  • If the system of equations x - ky – z=0, kx- y - x=0,x+y - z=0 has a non-zero solution, then the possible values of k are

    A
    `-1,2`
    B
    `1,2`
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    D
    `-1,1`

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

    A
    0,1
    B
    `1-1`
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    D
    `2,-2`

  • If the system of equations x – ky – z = 0, kx – y – z=0, x + y – z = 0 has a non -zero solution then the possible values of k are

    A
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