JCECE Engineering JCECE Engineering Solved Paper-2009

  • question_answer
    Equation of the pair of straight lines bisecting the angles between the lines represented by \[a{{x}^{2}}+hxy+b{{y}^{2}}=0\]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 bisector is                 \[\frac{{{x}^{2}}-{{y}^{2}}}{a-b}=\frac{xy}{h/2}\] \[\Rightarrow \]               \[\frac{{{x}^{2}}-{{y}^{2}}}{a-b}=\frac{2xy}{h}\]


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