JEE Main & Advanced Sample Paper JEE Main Sample Paper-31

  • question_answer
    The values of k for which the system of equations \[kx+y+z=0,x-ky+z=0,x+y+z=0\] possesses non-zero solutions, are given by

    A) \[1,2\]

    B) \[1,-2\]

    C) \[-1,1\]

    D) \[-1,-2\]

    Correct Answer: C

    Solution :

    Put\[\Delta =0\] \[\Rightarrow \left| \begin{matrix}    k & 1 & 1  \\    1 & -k & 1  \\    1 & 1 & 1  \\ \end{matrix} \right|=0\Rightarrow {{k}^{2}}=1\Rightarrow k=\pm 1\]


You need to login to perform this action.
You will be redirected in 3 sec spinner