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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 line \[x+2by+7=0\] is a diameter of the circle \[{{x}^{2}}+{{y}^{2}}-6x+2y=0\], then \[b=\]                               [MP PET 1991]

    A) 3    

    B) - 5

    C) - 1  

    D) 5

    Correct Answer: D

    Solution :

    Here the centre of circle \[(3,\ -1)\] must lie on the line\[x+2by+7=0\].                    Therefore, \[3-2b+7=0\Rightarrow b=5\].


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