JEE Main & Advanced Mathematics Circle and System of Circles Question Bank System of circles

  • question_answer
    The radical axis of two circles and the line joining their centres are                                [Karnataka CET 2001]

    A)            Parallel

    B)            Perpendicular

    C)            Neither parallel, nor perpendicular

    D)            Intersecting, but not fully perpendicular

    Correct Answer: B

    Solution :

               We know that the radical axis of two circles is the locus of a point which moves in such a way that the lengths of the tangents drawn from it to the two circles are equal. It is a line perpendicular to the line joining the centres of two circles.


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