Find all the common tangents to the circles x^2 + y^2 - 2x - 6y + 9 = 0 and x^2 + y^2…

MATHEMATICS · Subjective · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

Find all the common tangents to the circles x2+y2−2x−6y+9=0 and x2+y2+6x−2y+1=0.x^2 + y^2 - 2x - 6y + 9 = 0 \text{ and } x^2 + y^2 + 6x - 2y + 1 = 0.

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