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JEE Main & Advanced Mathematics Conic Sections Question Bank Hyperbola

  • question_answer
    The locus of the point of intersection of lines \[(x+y)t=a\] and \[x-y=at\], where t is the parameter, is

    A)            A circle                                      

    B)            An ellipse

    C)            A rectangular hyperbola           

    D)            None of these

    Correct Answer: C

    Solution :

               Multiplying both, we get\[{{x}^{2}}-{{y}^{2}}={{a}^{2}}\]. This is equation of rectangular hyperbola as\[a=b\].


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