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

  • question_answer
    For what value of 'a' the lines \[x=3,y=4\] and \[4x-3y+a=0\] are concurrent                     [RPET 1984]

    A) 0     

    B) -1

    C) 2     

    D) 3

    Correct Answer: A

    Solution :

               Here the lines are \[x-3=0,y-4=0\] and\[4x-3y+a=0\].                    These will be concurrent, if \[\left| \,\begin{matrix}    1 & 0 & -3  \\    0 & 1 & -4  \\    4 & -3 & a  \\ \end{matrix}\, \right|=0\Rightarrow a=0\].


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