Step 1: Identifying the Pottery.
- Terracotta: A common pottery type in India, especially in Bastar (Option II).
- Black Pottery: Known for its unique finish, primarily found in Jaipur (Option IV).
- Blue Pottery: Known for its intricate designs, widely practiced in Nizamabad (Option III).
- Terracotta Army: Famous pottery associated with the historical finds in China (Option I).
Step 2: Conclusion.
Thus, the correct matching is (A) - (II), (B) - (IV), (C) - (III), (D) - (I).