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

  • question_answer
    The equation of the circle which passes through (1, 0) and (0, 1) and has its radius as small as possible, is

    A)            \[{{x}^{2}}+{{y}^{2}}-2x-2y+1=0\]

    B)            \[{{x}^{2}}+{{y}^{2}}-x-y=0\]

    C)            \[2{{x}^{2}}+2{{y}^{2}}-3x-3y+1=0\]

    D)            \[{{x}^{2}}+{{y}^{2}}-3x-3y+2=0\]

    Correct Answer: B

    Solution :

               The radius will be minimum, if the given points are the end points of a diameter.


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