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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 29

  • question_answer
    The value of k such that the line \[2x- 3y+k= 0\], \[3x- 4y-13= 0\] and \[8x- 11y-33= 0\] are concurrent, is

    A) 20                               

    B) -7

    C) 7                                 

    D) -20

    Correct Answer: B

    Solution :

    Since, the lines \[2x - 3y+ A: = 0, 3x - 4y - 13 = 0\] and \[8x-11y-33=0\] are concurrent \[\therefore  2\left( 132-143 \right) + 3 \left( -99+104 \right)+k\left( - 33 +32 \right)=0\]\[\Rightarrow \,\,\,-\,22+15-k=0\,\,\,\Rightarrow \,\,=-7.\]


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