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

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    Radical axis of the circles \[3{{x}^{2}}+3{{y}^{2}}-7x+8y+11=0\] and \[{{x}^{2}}+{{y}^{2}}-3x-4y+5=0\]  is                                                   [RPET 2001]

    A)            \[x+10y+2=0\]                      

    B)            \[x+10y-2=0\]

    C)            \[x+10y+8=0\]                      

    D)            \[x+10y-8=0\]

    Correct Answer: B

    Solution :

               Radical axis of given circles is \[\left( -\frac{7}{3}+3 \right)\,x+\left( \frac{8}{3}+4 \right)\,\,\,y+\frac{11}{3}-5=0\]                    \[\Rightarrow \] \[2x+20y-4=0\]\[\Rightarrow \]\[x+10y-2=0\].


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