Answer to Question #38612 in Math for Sujata Roy

Question

Nobody knows yet if P = NP. Consider the language L defined as follows:
L=(0+1)* if P = NP
And
L=j otherwise
Which of the following statements is true?
a) L is recursive
b) L is recursively enumerable but not recursive
c) L is not recursively enumerable
d) Whether L is recursive or not will be known after we find out if P = NP