A) \[{{x}^{2}}+{{y}^{2}}-2x-6y=0\]
B) \[{{x}^{2}}+{{y}^{2}}-6x-3y=0\]
C) \[{{x}^{2}}+{{y}^{2}}-4x-4y=0\]
D) None of these
Correct Answer: C
Solution :
Equation of circle with centre \[(-g,\ -h)\] and passing through origin is \[{{x}^{2}}+{{y}^{2}}+2gx+2fy=0\] ?. (i) and \[g+h+4=0\] ?. (ii) Also \[-4g+2f=4\] ?. (iii) (ii) and (iii) give g and f, which will give the desired equation \[{{x}^{2}}+{{y}^{2}}-4x-4y=0\].
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