A circle S passes through the point (0, 1) and is orthogonal to the circles $$(x - 1)^2 + y^2 = 16$$ and $$x^2 + y^2 = 1.$$ Then

A

radius of S is 8

B

radius of S is 7

C

centre of S is (−7, 1)

D

centre of S is (−8, 1)