Find all the common tangents to the circles }x^2+y^2-2x-6y+9=0 and }x^2+y^2+6x-2y+1=0.

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x^{2} + y^{2} - 2 x - 6 y + 9 = 0

x^{2} + y^{2} + 6 x - 2 y + 1 = 0

Find the equations of direct common tangents for two circles

$x^{2} + y^{2} + 6 x - 2 y + 1 = 0,$ $x^{2} + y^{2} - 2 x - 6 y + 9 = 0$

Find the equations of transverse common tangents for two circles

$x^{2} + y^{2} + 6 x - 2 y + 1 = 0, x^{2} + y^{2} - 2 x - 6 y + 9 = 0$

Find the position of the circles $x^{2} + y^{2} - 2 x - 6 y + 9 = 0 a n d x^{2} + y^{2} + 6 x - 2 y + 1 = 0$ with respect to each other.

x^{2} + y^{2} - 4 x + 2 y - 4 = 0

x^{2} + y^{2} + 2 x - 6 y + 6 = 0

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