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

  • question_answer
    For the circle \[{{x}^{2}}+{{y}^{2}}+6x-8y+9=0\], which of the following statements is true

    A)            Circle passes through the point \[(-3,\ 4)\]

    B)            Circle touches x-axis

    C)            Circle touches y-axis               

    D)            None of these

    Correct Answer: B

    Solution :

               \[2\sqrt{{{g}^{2}}-c}=2\sqrt{9-9}=0\]                    Intercept cut on x-axis is zero. Hence circle touches x-axis. 


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