  We analyze the equlibrium statistics of a long linear homo-polymer chain
confined in between two flat geometrical constraints under good solvent
condition. The chain is ocupying two dimensional space and geometrical
constraints are two impenetrable lines for the two dimensional space. A fully
directed self avoiding walk lattice model is used to derive analytical
expression of the partition function for the given value of separation in
between the impenetrable lines. The exact values of the critical exponents
($\nu_{||}, \nu_{\perp}, \nu $ and $ \gamma_1$) were obtained for different
value of separations in between the impenetrable lines. An exact expression of
the grand canonical partition function of the confined semiflexible chain is
also calculated for the given value of the constraints separation using
generating function technique.
