delete rows with FID=1

System ArcGIS 9.3
python 2.6

Hello

I have two kinds of point shapefiles in a folder.
Type A has only one row in the attribute table. (FID=0)
Type B has two rows.(FID=0 and 1)

Please kindly advise python code to delete the second row(FID= 1) of type B shapefiles.
(P.S. The values of the second row of type B are identical to those of the row of type A)
(Coding ideas are welcomed, much better with explicit code)

Thank you.