Mathematics · JEE | RELATIONS AND FUNCTIONS

Let \( R \) be the relation in the set \( \mathbb{Z} \) of integers given by \( R = \{(a, b) : 3 \text{ divides } a - b\} \cdot \) What is the equivalence class \( [0] \)?

1. A
   \( \{k : k \in \mathbb{Z}\} \)
2. B
   \( \{3k + 1 : k \in \mathbb{Z}\} \)
3. C
   \( \{3k + 2 : k \in \mathbb{Z}\} \)
4. D
   \( \{3k : k \in \mathbb{Z}\} \)