For Statement 1:-
you know that w=wR ===> it is a palindrome string.
let L= Collection of Strings which are palindromes ===> LR = reversing each string in L = string in L
∴ S1 is TRUE.
For Statement 2 :-
| L1.L2 | = |L1| X | L2 |
LHS = concatenate L1 string, L2 String and take the length of resultant
RHS = Take the length of string in L1, length of string in L2 and multiply them
Obvisiouly it is a relation....but not a function,