JEE Math Practice Question

Let Z be the set of all integers, $$A = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {y^2} \le 4\} $$ $$B = \{ (x,y) \in Z \times Z:{x^2} + {y^2} \le 4\} $$ $$C = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {(y - 2)^2} \le 4\} $$ If the total number of relation from A $$\cap$$ B to A $$\cap$$ C is 2p, then the value of p is :

1. A.16
2. B.25
3. C.49
4. D.9