JEE Main & Advanced Sample Paper JEE Main Sample Paper-28

  • question_answer
    The system of linear equations \[x+y+z=2\], \[2x+y-z=3,\,3x+2y+kz=4\] has a unique solution, if

    A)  \[-1<k<1\]                         

    B)  \[-2<k<2\]

    C)  \[k\ne 0\]                          

    D)  \[k=0\]

    Correct Answer: C

    Solution :

    For unique solution, \[\Delta \ne 0\] So, \[\left| \begin{matrix}    1 & 1 & 1  \\    2 & 1 & -1  \\    3 & 2 & k  \\ \end{matrix} \right|\ne 0\Rightarrow -k\ne 0\]


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