What is the trajectory equation of the center of a circle circumscribed with two circles x * 2 + y * 2 = 1 and X * 2 + y * 2-8x + 12 = 0, and what is the graph

What is the trajectory equation of the center of a circle circumscribed with two circles x * 2 + y * 2 = 1 and X * 2 + y * 2-8x + 12 = 0, and what is the graph

C: The formula of X8 + y8-8x + 8 = 1 is (X-8) 8 + Y8 = 8, which is a circle with n (8,1) as the center and 8 as the radius. Let the center of the circle tangent to the line x = - 8 and circle C be m (x, y), then x + 8 = √ [(X-8) 8 + Y8] - 8