The locus of the centre of a circle of radius 2 which rolls on the outside of the circle x2 + y2 + 3x – 6y – 9 = 0 is

(1) x2 + y2 + 3x – 6y + 5 = 0

(2) x2 + y2 + 3x – 6y + 31 = 0

(3) x2 + y2 + 3x – 6y + 29/4 = 0

(4) None of these

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The correct option

(2) x2 + y2 + 3x – 6y + 31 = 0

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