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Locus of 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-11=0`
D. `x^(2)+y^(2)+3x-6y-36=0`

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