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

  • question_answer
    Radius of circle \[(x-5)(x-1)+(y-7)(y-4)=0\] is

    A)            3    

    B)            4

    C)            5/2 

    D)            7/2

    Correct Answer: C

    Solution :

               Extremities of diameter are (5, 7) and (1, 4) and radius is half of the distance between them                    \[=\frac{1}{2}\sqrt{{{(4)}^{2}}+{{(3)}^{2}}}=\frac{5}{2}\].


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