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

  • question_answer
    Which of the following lines is concurrent with the lines \[3x+4y+6=0\]and \[6x+5y+9=0\]

    A)            \[2x+3y+5=0\]                           

    B)            \[3x+3y+5=0\]

    C)            \[7x+9y+3=0\]                           

    D)            None of these

    Correct Answer: B

    Solution :

               Check by options.            From option (a), \[\left| \,\begin{matrix}    3 & 4 & 6  \\    6 & 5 & 9  \\    2 & 3 & 5  \\ \end{matrix}\, \right|=3(25-27)-4(12)+6(8)\ne 0\]                    From option (b),\[\left| \,\begin{matrix}    3 & 4 & 6  \\    6 & 5 & 9  \\    3 & 3 & 5  \\ \end{matrix}\, \right|=3(25-27)-4(3)+6(3)=0\]


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