JEE Main & Advanced Mathematics Pair of Straight Lines Question Bank Bisectors of the angle between the lines, Point of intersection of the lines

  • question_answer
    The combined equation of the bisectors of the angle between the lines represented by \[({{x}^{2}}+{{y}^{2}})\sqrt{3}=\] \[4xy\] is [MP PET 1992]

    A)            \[{{y}^{2}}-{{x}^{2}}=0\] 

    B)            \[xy=0\]

    C)            \[{{x}^{2}}+{{y}^{2}}=2xy\]   

    D)            \[\frac{{{x}^{2}}-{{y}^{2}}}{\sqrt{3}}=\frac{xy}{2}\]

    Correct Answer: A

    Solution :

               \[\frac{{{x}^{2}}-{{y}^{2}}}{\sqrt{3}-\sqrt{3}}=\frac{xy}{-2}\Rightarrow {{x}^{2}}-{{y}^{2}}=0\] .


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