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A circle of radius 2 units rools on the ...

A circle of radius 2 units rools on the outer side of the circle `x^2 + y^2 + 4x=0`, touching it externally. Find the locus of the centre of this outer circle. Also find the equations of the common tangents of the two circles when the line joining the centres of the two circles makes an angle of `60^0` with x-axis.

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