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 in the first quadrant touching each coordinate axis at a distance of one unit from the origin is [RPET 1991; MP PET 1987, 89]

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

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

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

    D)            None of these

    Correct Answer: A

    Solution :

               Circle is \[{{x}^{2}}+{{y}^{2}}-2x-2y+1=0\]as centre is (1, 1) and radius = 1.


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