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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 the radius of the circle \[{{x}^{2}}+{{y}^{2}}\] \[-18x+12y+k=0\] be 11, then \[k=\]                                   [MP PET 1987]

    A)            347

    B)            4

    C)            \[-\,4\]                                        

    D)            49

    Correct Answer: C

    Solution :

               \[{{(\text{Radius})}^{2}}={{g}^{2}}+{{f}^{2}}-c\] or \[121=81+36-k\]                    or \[k=-4\].


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