A) First statement is true as Exhaustive search parsing may grow exponentially with the length of the string making cost of method prohibitive.
Second is true as when it (parsing) gives a derivation of w i.e. w∈L(G), then it stops.
Third is false because when w∉L(G), the method will go on producing trial sentential forms indefinitely unless we stop it somehow.. Hence it never terminates if w cannot be generated by the grammar. It is one of the major flaw in this parsing technique which makes it inefficient.