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 lines represented by equation \[4{{x}^{2}}-16xy-7{{y}^{2}}=0\]is

    A)            \[8{{x}^{2}}+11xy-8{{y}^{2}}=0\]                                    

    B)            \[8{{x}^{2}}-11xy-8{{y}^{2}}=0\]

    C)            \[16{{x}^{2}}+11xy-16{{y}^{2}}=0\]                                

    D)            \[16{{x}^{2}}+11xy+16{{y}^{2}}=0\]

    Correct Answer: A

    Solution :

               \[\frac{{{x}^{2}}-{{y}^{2}}}{11}=\frac{xy}{-8}\Rightarrow 8{{x}^{2}}+11xy-8{{y}^{2}}=0\].


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