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 angles between the lines represented by \[{{x}^{2}}+2xy\cot \theta +{{y}^{2}}=0\], is

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

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

    C)            \[({{x}^{2}}-{{y}^{2}})\cot \theta =2xy\]                      

    D)            None of these

    Correct Answer: A

    Solution :

               Equation of bisectors is given by \[\frac{{{x}^{2}}-{{y}^{2}}}{a-b}=\frac{xy}{h}\]                    or \[\frac{{{x}^{2}}-{{y}^{2}}}{0}=\frac{xy}{\cot \theta }\]or \[{{x}^{2}}-{{y}^{2}}=0\] .

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