Statement 1 : If two circles x^2+y^2+2gx...

Statement 1 : If two circles `x^2+y^2+2gx+2fy=0` and `x^2+y^2+2g^(prime)x+2f^(prime)y=0` touch each other, then `f^(prime)g=fg^(prime)dot` Statement 2 : Two circles touch other if the line joining their centers is perpendicular to all possible common tangents.

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