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

  • question_answer
    Radius of the circle \[(x-1)(x-3)+(y-2)(y-4)\] \[=0\] is

    A)            2    

    B)            \[\sqrt{2}\]

    C)            3    

    D)            \[2\sqrt{2}\]

    Correct Answer: B

    Solution :

               Equation of the circle is \[(x-1)(x-3)+(y-2)(y-4)=0\]                    So, radius\[=\frac{1}{2}\sqrt{{{(3-1)}^{2}}+{{(4-2)}^{2}}}=\frac{1}{2}\sqrt{8}=\frac{2\sqrt{2}}{2}=\sqrt{2}\].


You need to login to perform this action.
You will be redirected in 3 sec spinner