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JEE Main & Advanced AIEEE Solved Paper-2008

  • question_answer
    If the straight lines \[\frac{x-1}{k}=\frac{y-2}{2}=\frac{z-3}{3}\] and \[\frac{x-2}{3}=\frac{y-3}{k}=\frac{z-1}{2}\] intersect at a point, then the integer k is equal to       AIEEE  Solved  Paper-2008

    A) 2             

    B) - 2                          

    C) - 5                          

    D) 5

    Correct Answer: C

    Solution :

    \[\because \] Two given lines are intersecting. \[\left| \begin{matrix}    1 & 1 & -2  \\    k & 2 & 3  \\    3 & k & 2  \\ \end{matrix} \right|=0\,\,\,\Rightarrow \,\,k=-5\] is the required integral value.


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