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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 equation of the bisectors of the angle between the lines represented by the equation \[{{x}^{2}}-{{y}^{2}}=0\], is

    A)            \[x=0\]                                   

    B)            \[y=0\]

    C)            \[xy=0\]                                 

    D)            None of these

    Correct Answer: C

    Solution :

               By the formula for equation of bisector            \[\frac{{{x}^{2}}-{{y}^{2}}}{1-(-1)}=\frac{xy}{(0)}\Rightarrow xy=0\] (By cross-multiplication).


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