Consider the two lists List I and List II given below: For matching of items in List I with those in List II, which of the following option(s) is/are CORRECT?

Let us analyze the closure properties of each language family given in List I:

1. (i) Context-free languages (CFLs):

   • Closed under union: Yes

   • Closed under intersection: No

   • Closed under complementation: No

   • Among the items in List II, the unique negative closure property is (b) Not closed under complementation. Since both Recursive and Regular languages *are* closed under complementation, Context-free languages must match with (b), i.e., $(i) \text{ -- } (b)$.

2. (ii) Recursive languages:

   • Closed under union: Yes

   • Closed under intersection: Yes

   • Closed under complementation: Yes

3. (iii) Regular languages:

   • Closed under union: Yes

   • Closed under intersection: Yes

   • Closed under complementation: Yes

Since both Recursive languages and Regular languages are closed under both union and intersection:

• Pairing $(ii)$ with $(a)$ and $(iii)$ with $(c)$ yields: $(i) \text{ -- } (b), (ii) \text{ -- } (a), \text{ and } (iii) \text{ -- } (c)$, which corresponds to option (B).

• Pairing $(ii)$ with $(c)$ and $(iii)$ with $(a)$ yields: $(i) \text{ -- } (b), (ii) \text{ -- } (c), \text{ and } (iii) \text{ -- } (a)$, which corresponds to option (C).

Therefore, the correct options are (B) and (C).