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

  • question_answer
    The equation of the lines represented by the equation \[{{x}^{2}}-5xy+6{{y}^{2}}=0\] are

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

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

    C)            \[y+2x=0\], \[y+3x=0\]    

    D)            None of these

    Correct Answer: D

    Solution :

               \[{{x}^{2}}-5xy+6{{y}^{2}}=0\] Þ \[{{x}^{2}}-2xy-3xy+6{{y}^{2}}=0\]                    Þ \[x(x-2y)-3y(x-2y)=0\]                    Þ \[(x-2y)=0\] and\[x-3y=0\].


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