[" If the circles "x^(2)+y^(2)-10x+2y+10=0" and "x^(2)+y^(2)-4x-6y-12=0" touch each other then "],[" the slope of the common tangent at the point of contact of the circles is "]

Prove that the circle x^(2)+y^(2)+2x+2y+1=0 and circle x^(2)+y^(2)-4x-6y-3=0 touch each other.

Prove that the circle x^(2)+y^(2)+2x+2y+1=0 and circle x^(2)+y^(2)-4x-6y-3=0 touch each other.

If the circles x^(2)+y^(2)+4x-2y-220=0, x^(2)+y^(2)-4x+4y-92=0 touch each other then the points of contact is

find the coordinates of the points at which the circle x^(2)+y^(2)-4x-2y=4 and x^(2)+y^(2)-12x-8y=12 touch each other.Find the equation of the common tangent at the point of contact.

Show that the circles x^(2)+y^(2)-8x-2y+8=0 and x^(2)+y^(2)-2x+6y+6=0 touch each other and find the point of contact.

Show that the circles x^(2) + y^(2)-4x-6y-12=0 and x^(2) +y^(2) + 6x + 18 y + 26 = 0 touch each other. Also find the point of contact and common tangent at this point of contact.