JEE Main & Advanced Mathematics Straight Line Question Bank Concurrency of three lines

  • question_answer
    Three lines \[3x-y=2,\,\,5x+ay=3\] and \[2x+y=3\] are concurrent, then a =                                       [MP PET 1996]

    A)            2     

    B)            3

    C)            -1   

    D)            -2

    Correct Answer: D

    Solution :

               \[\left| \,\begin{matrix}    3 & -1 & -2  \\    5 & a & -3  \\    2 & 1 & -3  \\ \end{matrix}\, \right|=0\]                    Þ \[3(-3a+3)+1(-15+6)-2(5-2a)=0\] Þ \[a=-2\].


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