A) \[{{x}^{2}}+{{y}^{2}}-4x-6y-9=0\]
B) \[{{x}^{2}}+{{y}^{2}}-4x-6y+9=0\]
C) \[{{x}^{2}}+{{y}^{2}}-4x-6y+3=0\]
D) None of these
Correct Answer: B
Solution :
Equation of circle concentric to given circle is \[{{x}^{2}}+{{y}^{2}}-4x-6y+k=0\] It touches \[x=0\], therefore Radius = Perpendicular distance from centre to \[x=0\] \[\Rightarrow \sqrt{4+9-k}=\frac{2}{\sqrt{1}}\Rightarrow k=9\] Hence required equation is \[{{x}^{2}}+{{y}^{2}}-4x-6y+9=0\].
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