Using the theoretical formalism of R Liao et al. 9 and Y Zhang et al. 10 , we have theoretically studied spin-orbit coupled fermionic condensate. We have evaluated various parameters as a function of SOC parameter. The evaluated parameters are tricrital temoeratre, tricritical magnetic field, tricritical polarization and two types of critical temperature TCO and TCg all as a function of SOC parameter, Our theoretically obtained results show that all parameter increase and decrease with SOC parameter. These results indicate that there is a competition between SOC and population imbalance due to which these new features have been observed. We hope that the current work will add new excitements in the field of cold atom physics involving artificial gauge field and spin orbit coupling.