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 concentric with the circle \[{{x}^{2}}+{{y}^{2}}+8x+10y-7=0\] and passing through the centre of the circle \[{{x}^{2}}+{{y}^{2}}-4x-6y=0\] is

    A)            \[{{x}^{2}}+{{y}^{2}}+8x+10y+59=0\]

    B)            \[{{x}^{2}}+{{y}^{2}}+8x+10y-59=0\]

    C)            \[{{x}^{2}}+{{y}^{2}}-4x-6y+87=0\]

    D)            \[{{x}^{2}}+{{y}^{2}}-4x-6y-87=0\]

    Correct Answer: B

    Solution :

               Centre is \[(-4,\ -5)\]and passes through (2, 3).


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