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

  • question_answer
    The equation of the circumcircle of the triangle formed by the lines \[y+\sqrt{3}x=6,\ y-\sqrt{3}x=6,\] and \[y=0\], is  [EAMCET 1982]

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

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

    C)            \[{{x}^{2}}+{{y}^{2}}-4y=12\]                                       

    D)            \[{{x}^{2}}+{{y}^{2}}+4x=12\]

    Correct Answer: C

    Solution :

               Solving \[y=0\] and\[y+\sqrt{3}x=6\], we get\[(2\sqrt{3},\,0)\], only option (c) satisfies the co-ordinate.


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