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

  • question_answer
    Separate equations of lines, for a pair of lines, whose equation is \[{{x}^{2}}+xy-12{{y}^{2}}=0\], are [Karnataka CET 2001; Pb. CET 2000]

    A)            \[x+4y=0\]and \[x+3y=0\]

    B)            \[2x-3y=0\] and \[x-4y=0\]

    C)            \[x-6y=0\]and \[x-3y=0\]       

    D)            \[x+4y=0\]and \[x-3y=0\]

    Correct Answer: D

    Solution :

               \[{{x}^{2}}+xy-12{{y}^{2}}=0\] Þ \[{{x}^{2}}+4xy-3xy-12{{y}^{2}}=0\]                    Þ \[(x+4y)(x-3y)=0\]                    Therefore separate equations for the lines are \[x+4y=0\] and\[x-3y=0\].


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