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JEE Main & Advanced Mathematics Circle and System of Circles Question Bank Equations of circle, Geometrical problems regarding circle

  • question_answer
    The locus of the centre of a circle which always passes through the fixed points (a, 0) and \[(-a,\ 0)\], is

    A)            \[x=1\]                                      

    B)            \[x+y=6\]

    C)            \[x+y=2a\]                              

    D)            \[x=0\]

    Correct Answer: D

    Solution :

               Perpendicular bisector of join of the two points \[(a,\ 0)\] and \[(-a,\ 0)\] i.e., \[x=0\].


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