Find the number of ordered pairs of real numbers (a,b) such that (a \plus{} bi)^{2002} \equal{} a \minus{} bi.
<spanclass=′latex−bold′>(A)</span>1001<spanclass=′latex−bold′>(B)</span>1002<spanclass=′latex−bold′>(C)</span>2001<spanclass=′latex−bold′>(D)</span>2002<spanclass=′latex−bold′>(E)</span>2004