The distribution of distances between different pairs of units in a tw
o-dimensional linear flexible polymer chain with net repulsive interac
tions between units (i.e., in the excluded-volume regime) is investiga
ted through an off-lattice Monte Carlo method. Three different cases,
according to the position of the pair components (end or interior unit
s), are studied. The results are in excellent agreement with theoretic
al predictions generated by Coulomb gas techniques and conformal invar
iance methods. Some of these results, however, differ clearly from the
values obtained in previous simulations or from those predicted by ep
silon expansion formulas based on the renormalization group theory.