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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    For what value of\[\lambda ,\]the system of equations \[x+y+z=6,\text{ }x+2y+3z=10,\]\[x+2y+\lambda z=10\]is consistent?

    A)  1            

    B)                         2

    C)  \[-1\]                   

    D)         3

    E)  \[-3\]

    Correct Answer: D

    Solution :

    The system of equations is consistent, if \[\left| \begin{matrix}    1 & 1 & 1  \\    1 & 2 & 3  \\    1 & 2 & \lambda   \\ \end{matrix} \right|=0\] \[\Rightarrow \]               \[\lambda =3\]


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