For L1 "Since number of strings in lang. = 0 OR 1" => Lang. is finite => lang. is regular. Since Every regular lang is REL (Recursive enumerable lang.) So L1 is REL.
For L2 "Since number of strings in lang. = infinite" => their might be a TM which may or may not halt for some i/p string (incase if given string donot belong to given lang L2) So L2 is also REL.
So I think Ans Option C L1 and L2 both REL.
Please someone can correct me if iam wrong