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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    If\[\left| \begin{matrix}    2i & -3i & 1  \\    3 & 3i & -1  \\    4 & 3 & i  \\ \end{matrix} \right|=x+iy,\]then:

    A) \[x=3,\text{ }y=1\]     

    B)         \[x=2,\text{ }y=5\]

    C) \[x=0,y=0\]     

    D)         \[x=1,\text{ }y=1\]

    E) \[x=0,\text{ }y=5\]

    Correct Answer: C

    Solution :

    \[\left| \begin{matrix}    2i & -3i & 1  \\    3 & 3i & -1  \\    4 & 3 & i  \\ \end{matrix} \right|=\left| \begin{matrix}    2i+3 & 0 & 0  \\    3 & 3i & -1  \\    4 & 3 & i  \\ \end{matrix} \right|\] \[(2i+3)(-3+3)=0\] \[\Rightarrow \]               \[x=0,y=0\]


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