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JEE Main & Advanced Mathematics Circle and System of Circles Question Bank System of circles

  • question_answer
    The circle \[{{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0\]bisects the circumference of the circle \[{{x}^{2}}+{{y}^{2}}+2g'x+2f'y+c'=0\], if

    A)            \[2g'(g-g')+2f'(f-f')=c-c'\]

    B)            \[g'(g-g')+f'(f-f')=c-c'\]

    C)            \[f(g-g')+g(f-f')=c-c'\]               

    D)            None of these

    Correct Answer: A

    Solution :

               Common chord \[{{S}_{1}}-{{S}_{2}}=0\] passes through the centre of\[{{S}_{2}}=0\].


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