A) \[2{{x}^{2}}+2{{y}^{2}}-5x+y-14=0\]
B) \[7x-3y+18=0\]
C) \[5x-y+14=0\]
D) None of these
Correct Answer: B
Solution :
Radical axis is \[{{S}_{1}}-{{S}_{2}}\] \[{{S}_{1}}\equiv {{x}^{2}}+{{y}^{2}}+x-y+2=0\] \[{{S}_{2}}={{x}^{2}}+{{y}^{2}}-\frac{4}{3}x-4=0\] \[\Rightarrow {{S}_{1}}-{{S}_{2}}=\frac{7}{3}x-y+6=0\] or \[7x-3y+18=0\].
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