  In the pole-dominance model for the two-body nonleptonic decays of charmed
mesons $D \rightarrow PV$ and $D \rightarrow VV$, it is shown that the
contributions of the intermediate pseudoscalar and the axial-vector meson poles
cancel each other in the annihilation diagrams in the chiral limit. In the same
limit, the annihilation diagrams for the $D \rightarrow PP$ decays vanish
independently.
