RAJASTHAN ­ PET Rajasthan PET Solved Paper-2008

  • question_answer
    The joint equation of the bisectors of the angles between the lines represented by the equation\[a{{x}^{2}}+hxy+b{{y}^{2}}=0\]is

    A)  \[\frac{{{x}^{2}}-{{y}^{2}}}{a-b}=\frac{2xy}{h}\]

    B)  \[\frac{{{x}^{2}}+{{y}^{2}}}{a+b}=\frac{xy}{2h}\]

    C)  \[\frac{{{x}^{2}}-{{y}^{2}}}{a-b}=\frac{xy}{h}\]

    D)  None of these

    Correct Answer: A

    Solution :

     Given, equation of pair of lines is \[a{{x}^{2}}+hxy+b{{y}^{2}}=0\] \[\therefore \]Equation of angle bisector is \[\frac{{{x}^{2}}-{{y}^{2}}}{a-b}=\frac{xy}{h/2},=\frac{2xy}{h}\]


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