What is the position relationship between circle x ^ 2 + y ^ 2-6x + 5 = 0 and circle x ^ 2 + y ^ 2-8y + 7 = 0? What is the positional relationship between circle x ^ 2 + y ^ 2-6x + 5 = 0 and circle x ^ 2 + y ^ 2-8y + 7 = 0? Apart, intersect, circumscribe, or inscribe? How to judge their position? Now I can get the center coordinates and radius of two circles by using the conditions in the question. But what should I do next?

What is the position relationship between circle x ^ 2 + y ^ 2-6x + 5 = 0 and circle x ^ 2 + y ^ 2-8y + 7 = 0? What is the positional relationship between circle x ^ 2 + y ^ 2-6x + 5 = 0 and circle x ^ 2 + y ^ 2-8y + 7 = 0? Apart, intersect, circumscribe, or inscribe? How to judge their position? Now I can get the center coordinates and radius of two circles by using the conditions in the question. But what should I do next?

Let the radii of two circles be r and R respectively, and the center distance be D, then the relationship between the position of two circles and the center distance and the number of radii of two circles is as follows:
(1) The outer distance of two circles d > R + R
(2) Circumscribed two circles d = R + R
(3) Two circles intersect R-R