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

  • question_answer
    The equations of the lines represented by the equation \[a{{x}^{2}}+(a+b)xy+b{{y}^{2}}+x+y=0\] are

    A)            \[ax+by+1=0\], \[x+y=0\]

    B)            \[ax+by-1=0\], \[x+y=0\]

    C)            \[ax+by+1=0\], \[x-y=0\]

    D)            None of these

    Correct Answer: A

    Solution :

               Equation \[a{{x}^{2}}+(a+b)xy+b{{y}^{2}}+x+y=0\] can be written as\[(ax+by+1)(x+y)=0\].


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