The circles `x^(2)+y^(2)-2x-4y+1=0` and `x^(2)+y^(2)+4y-1 =0`

The circles x^(2)+y^(2)-2x-4y+1=0 and x^(2)+y^(2)+4x+4y-1=0 touch internally touch externally have 3x+4y-1=0 as the common tangent at the point of contact have 3x+4y+1=0 as the common tangent at the point of contact

The length of the common chord of the circles x^(2)+y^(2)-2x-1=0 and x^(2)+y^(2)+4y-1=0 , is

The point of tangency of the circles x^(2)+y^(2)-2x-4y=0 and x^(2)+y^(2)-8y-4=0 is

The equation of the circle having its centre on the line x+2y-3=0 and passing through the points of intersection of the circles x^(2)+y^(2)-2x-4y+1=0 and x^(2)+y^(2)-4x-2y+4=0 is

Find the equation of the circle through the points of interrection of the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+4y-12=0 and cutting the circle x^(2)+y^(2)-2x-4=0 orthogonally.

Two circles x^(2) + y^(2) - 2x - 4y = 0 and x^(2) + y^(2) - 8y - 4 = 0