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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+(29)/(4)=0`

D

none of these

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The correct Answer is:
B
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