The phase transition of hadronic matter to deconfined quark matter in the interior of the neutron star is studied. A relativistic quark model is used to describe the hadronic matter whereas the MIT bag model is used to represent the quark matter. The coexistence of hadron-quark mixed phase in equilibrium is also investigated. The equation of state with nucleon $+$ quark (NP-hybrid) and nucleon $+$ hyperon $+$ quark (NP $+$ hyp-hybrid) matter is developed and stellar properties, such as the maximum mass, radii, tidal deformability, and gravitational redshift are determined. The behavior of the speed of sound and the adiabatic index in the hybrid matter are also studied. It is found that within the conformal limits of the speed of sound, stars below the $2\text{\ensuremath{-}}{M}_{\ensuremath{\bigodot}}$ limit lack a sizable quark core but exhibit mixed phase of hadrons and quarks.
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