Mapping the QCD phase boundary and locating critical end point still remains\nas an open problem in strong interaction physics. Predictions about the\nco-ordinates of the critical point in the $(T, \\mu_B)$ plane, from different\nQCD motivated models show a wide variation. Lattice QCD calculations are also\navailable, that give an estimation of the critical point for chiral phase\ntransition, where the transition changes its nature from rapid cross over to\nfirst order transition. Recently co-ordinates of the critical point for\ndeconfinement phase transition are claimed to be found as an endpoint of the\nfirst order phase transition line, in Bag model scenario. In the present paper\nwe have shown that Bag model gives a complete first order phase transition line\nin the $(T, \\mu_B)$ plane, and one can not have any point where the transition\nchanges its nature.\n