JEE Math Practice Question

Let S1, S2 and S3 be three sets defined as S1 = {z$$\in$$C : |z $$-$$ 1| $$ \le $$ $$\sqrt 2 $$} S2 = {z$$\in$$C : Re((1 $$-$$ i)z) $$ \ge $$ 1} S3 = {z$$\in$$C : Im(z) $$ \le $$ 1} Then the set S1 $$\cap$$ S2 $$\cap$$ S3 :

1. A.has exactly three elements
2. B.is a singleton
3. C.has infinitely many elements
4. D.has exactly two elements