(a) A={anbn| n=1,2..} is DCFL .So,(a) is False
(b)The set B,consisting of all strings made up of only a's and b's having equal number of a's and b's is a DCFL. So,(b) is False.
(c) L(A*B) $\cap$ B
A= {anbn| n=1,2..}
B=consisting of all strings made up of only a's and b's having equal number of a's and b's
L(A*B)= L( { B + AB + AAB + ...} )
Now, L(A*B) $\cap$ B = B
So,(c) is False.
Ans:(d) None of the above