  We compute the hybrid star (HS) properties with the help of Maxwell
construction. For the purpose we choose a fixed hadronic model and four
different forms of MIT bag model for the quark phase. We investigate thoroughly
the effects of the different parameters of the bag model on the speed of sound
in HS matter and the structural properties of HSs in the light of the various
recent constraints on them from astrophysical observations. We also examine the
importance of each parameter involved in these four forms of bag model in the
context appearance of special points (SPs) in the mass-radius (M-R) variation
of HSs. We find that among all these parameters the bag pressure play the most
significant role in the emergence of the SPs in the M-R dependence of HSs.
