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 with centre on the x-axis, radius 4 and passing through the origin, is

    A)            \[{{x}^{2}}+{{y}^{2}}+4x=0\]                                        

    B)            \[{{x}^{2}}+{{y}^{2}}-8y=0\]

    C)            \[{{x}^{2}}+{{y}^{2}}\pm 8x=0\]                                   

    D)            \[{{x}^{2}}+{{y}^{2}}+8y=0\]

    Correct Answer: C

    Solution :

               As the centre may be \[(\pm 4,\ 0)\] and radius = 4.


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