Show that the circles `x^2+y^2-10 x+4y-20=0` and `x^2+y^2+14 x-6y+22=0` touch each other. Find the coordinates of the point of contact and the equation of the common tangent at the point of contact.

Show that the circles x^(2)+y^(2)-10x+4y-20=0 and x^(2)+y^(2)+14x-6y+22=0 touch each other.Find the coordinates of the point of contact and the equation of the common tangent at the point of contact.

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

Show that the circles x^(2) +y^(2) - 2x - 4y - 20 = 0 and x^(2) + y^(2) + 6x +2y- 90=0 touch each other . Find the coordinates of the point of contact and the equation of the common tangent .

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 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)-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?