1.

The locus of the centre of a circle of radius 2 which rolls on the outside of circle \[{{x}^{2}}+{{y}^{2}}+3x-6y-9=0\], is

A.            \[{{x}^{2}}+{{y}^{2}}+3x-6y+5=0\]
B.            \[{{x}^{2}}+{{y}^{2}}+3x-6y-31=0\]
C.            \[{{x}^{2}}+{{y}^{2}}+3x-6y+\frac{29}{4}=0\]         
D.            None of these
Answer» C.            \[{{x}^{2}}+{{y}^{2}}+3x-6y+\frac{29}{4}=0\]         


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