Show that the circles `x^2 + y^2 - 2x =0 and x^2 + y^2 + 6x - 6y + 2 = 0 ` touch each of contact . Is the point of contact external or internal?

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

Circles x^(2) + y^(2) - 2x = 0 and x^(2) + y^(2) + 6x - 6y + 2 = 0 touch each other extermally. Then point of contact is

Show that the circles x ^(2) + y ^(2) - 2x =0 and x ^(2) + y ^(2) - 8x + 12=0 touch each other externally. 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.

Show that the circles x^(2) + y^(2) + 2x = 0 and x^(2)+ y^(2) - 6 x -6 y + 2 = 0 touch externally at the point (1/5,3/5)

Show that the circles x^(2) +y^(2) -4x-6y-12=0 and 5(x^(2)+y^(2))-8x - 14y - 32 = 0 touch each other and find their point of contact.

Show that the circles x^(2)+y^(2)-2x=0 and x^(2)+y^(2)+6x-6y+2=0 touch each other. Find the coordinates of the point of contact. Is the point of contact external of internal?

Show that the circle x^(2) +y^2) - 6x -2y + 1 = 0, x^(2) + y^(2) + 2x - 8y + 13 = 0 touch each other. Find the point of contact and the equation of common tangent at their point of contact.

Show that the circles x^(2) + y^(2) -6x -2y + 1=0 , x ^(2) + y^(2) + 2x -8y + 13 =0 touch each other find the point of contact and the equation of the common tangent at their point of contact.