A) (13, 33/4)
B) (33/4, -13)
C) (33/4, 13)
D) None of these
Correct Answer: D
Solution :
\[{{S}_{1}}\]\[\equiv \] \[{{x}^{2}}+{{y}^{2}}-16x+60=0\] .....(i) \[{{S}_{2}}\]\[\equiv \]\[{{x}^{2}}+{{y}^{2}}-12x+27=0\] ..... (ii) \[{{S}_{3}}\]\[\equiv \]\[{{x}^{2}}+{{y}^{2}}-12y+8=0\] ..... (iii) The radical axis of circle (i) and circle (ii) is \[{{S}_{1}}-{{S}_{2}}=0\,\Rightarrow \,-4x+33=0\] .... (iv) the radical axis of circle (ii) and circle (iii) is \[{{S}_{2}}-{{S}_{3}}=0\]\[\Rightarrow \,\,-12+12y+19=0\] .....(v) Solving (iv) and (v), we get the radical centre\[\left( \frac{33}{4},\,\frac{20}{3} \right)\].
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