question_answer

The equation of the circle passing through (1, 2) and the points of intersection of \[{{x}^{2}}+{{y}^{2}}+15x-5y+8=0\]and\[2{{x}^{2}}+2{{y}^{2}}+6x-9y-25=0\]is:

A)  \[4{{x}^{2}}+4{{y}^{2}}-30x-10y=25\]

B)  \[5{{x}^{2}}+5{{y}^{2}}+27x-23y=42\]

C)  \[5{{x}^{2}}+5{{y}^{2}}-27x+23y-42=0\]

D)  \[5{{x}^{2}}+5{{y}^{2}}-21x-14y=42=0\]

E)  None of these