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

  • question_answer
    The equation of a diameter of circle \[{{x}^{2}}+{{y}^{2}}-6x+2y=0\] passing through origin is [RPET 1991; IIT 1989; MP PET 2002]

    A)            \[x+3y=0\]                              

    B)            \[x-3y=0\]

    C)            \[3x+y=0\]                              

    D)            \[3x-y=0\]

    Correct Answer: A

    Solution :

               Centre (3, ?1). Line through it and origin is \[x+3y=0\].


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