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Find the equations to the common tangents of the circles `x^2+y^2-2x-6y+9=0` and `x^2+y^2+6x-2y+1=0`

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Find the equations to the common tangents of the circles `x^2+y^2-2x-6y+9=0` and `x^2+y^2+6x-2y+1=0`
A. 1
B. 2
C. 3
D. 4
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Correct Answer - 3
`C_(1) -= (2,3), r_(1)=5`
`C_(2) -= (-3,-9) , r_(2) =8`
`C_(1)C_(2)= sqrt(25+144)=13`
`implies `circles touch externally.
`implies 3` common tangents.
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