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 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 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.

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 x^(2) + y^(2) -6x -9y +13 =0, x^(2) +y^(2) -2x -16y =0 touch each other . Find the point of contact and the equation of common tangent at their point of contact.

Show that the circles S=-x^(2) + y^(2) -2x-4y -20 =0 , S' = x^(2) +y^(2) +6x+ 2y -90 =0 touch each other internally . Find their point contact.

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 two circles x^(2) + y^(2) + 4x - 12 y + 4 = 0 and x^(2) + y^(2) - 2x - 4y + 4 = 0 touch each other . Also , find the co-ordinates of the point of contact .