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

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    The equation of line passing through the points of intersection of the circles \[3{{x}^{2}}+3{{y}^{2}}-2x+12y-9=0\] and \[{{x}^{2}}+{{y}^{2}}+6x+2y-15=0\], is [IIT 1986; UPSEAT 1999]

    A)            \[10x-3y-18=0\]                     

    B)            \[10x+3y-18=0\]

    C)            \[10x+3y+18=0\]                 

    D)            None of these

    Correct Answer: A

    Solution :

               Common chord \[={{S}_{1}}-{{S}_{2}}\]                    \[10x-3y-18=0\].


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