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J & K CET Engineering J and K - CET Engineering Solved Paper-2007

  • question_answer
    If \[\left| \begin{matrix}    1 & 1 & 0  \\    2 & 0 & 3  \\    5 & -6 & x  \\ \end{matrix} \right|=29,\] then x is

    A)  \[1\]

    B)  \[2\]

    C)   \[3\]

    D)  \[4\]

    Correct Answer: B

    Solution :

    Given, that,  \[\left| \begin{matrix}    1 & 1 & 0  \\    2 & 0 & 3  \\    5 & -6 & x  \\ \end{matrix} \right|=29\] \[\Rightarrow \] \[1(0+18)-1(2x-15)=29\] \[\Rightarrow \] \[18-2x+15=29\] \[\Rightarrow \] \[2x=4\] \[\Rightarrow \] \[x=2\]


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