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Let [lambda] be the greatest integer le...

Let `[lambda]` be the greatest integer less than or equal to `lambda`. The set of all values of `lambda` for which the system of linear equations `x +y+z=4, 3x+2y+5z=3, 9x+4y + (28+[lambda])z=[lambda]` has a solution is :

A

R

B

`[-9, -8)`

C

`(-oo, -9) cup ( -9 , oo)`

D

`(-oo, -9) cup [-8, oo)`

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Knowledge Check

  • The set of all values of lambda for which the system of linear equations x - 2y - 2z = lambdax x + 2y + z = lambday -x -y = lambdaz has a non-trivial solution

    A
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    D
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  • If the system of linear equations x+y+z=6, x+2y+3z=14 and 2x +5y+ lambdaz=mu(lambda,mu ne R) has a unique solution if lambda is

    A
    `lambdane`8
    B
    `lambda =8 "and" mu ne 36`
    C
    `lambda =8 "and" mu =36`
    D
    None of these

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