JEE Main & Advanced Mathematics Pair of Straight Lines Question Bank Equation of Pair of Straight Lines

  • question_answer
    If \[L{{x}^{2}}-10xy+12{{y}^{2}}\]\[+5x-16y-3=0\] represents a pair of straight lines, then L is                                       [MP PET 2001]

    A)            1    

    B)            2

    C)            3    

    D)            -1

    Correct Answer: B

    Solution :

               Given equation represents a pair of straight lines, if                    \[abc+2fgh-a{{f}^{2}}-b{{g}^{2}}-c{{h}^{2}}=0\]                    \[\Rightarrow -36L+200-64L-75+75=0\]                    \[\Rightarrow -100L+200=0,\,\,\,\therefore L=2\].


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