Let a and b be positive real numbers. Suppose PQ = a + b) and PS= a - bj are adjacent sides of a parallelogram PQRS. Let and V be the projection vectors of W=1+ along PQ and PS, respectively. If ||+|| = |w| and if the area of the parallelogram PQRS is 8, then which of the following statements is/are TRUE? (A) a+b = 4 (B) a b=2 (C) The length of the diagonal PR of the parallelogram PQRS is 4 (D) w is an angle bisector of the vectors PQ and PS