Mathematics

Problem

Let

x, y, z \in \mathbb{C}

satisfy

|x| = 1, |y - 6 - 8i| = 3

and

|z + 1 - 7i| = 5

, respectively, then the minimum value of

|x - z| + |y - z|

is equal to: (A) 1 (B) 2 (C) 5 (D) 6