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

  • question_answer
    If \[{{g}^{2}}+{{f}^{2}}=c\], then the equation \[{{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0\]will represent [MP PET 2003]

    A)            A circle of radius g                   

    B)            A circle of radius f

    C)            A circle of diameter \[\sqrt{c}\]      

    D)            A circle of radius 0

    Correct Answer: D

    Solution :

               Radius of given circle \[=\sqrt{{{g}^{2}}+{{f}^{2}}-c}\]                    \[{{g}^{2}}+{{f}^{2}}=c\] (given), \[\therefore \] Radius = 0.


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