  We have explored the effect of dark matter interaction on hybrid star (HS) in
the light of recent astrophysical observational constraints. The presence of
dark matter is assumed to be there in both the hadron as well as the quark
sector. The dark matter particle interacts with both hadron and quark matter
through the exchange of a scalar as well as a vector meson. The equation of
state (EOS) of the hadron part is computed using the NL3 version of the
relativistic mean field(RMF) model, whereas the quark part is taken care of
using the well-known MIT Bag model with the vector interaction. We investigate
the effect of the dark matter density and the mass of the dark matter particle
on various observables like mass, radius, tidal deformability of the dark
matter admixed hybrid star(DMAHS). In this study, we have noted an intriguing
aspect that is the speed of sound in the DMAHS is insensitive to both the mass
as well as the density of dark matter. We also observe a striking similarity in
the variation of transition mass and its corresponding radius, as well as the
maximum mass of neutron stars, with dark matter density and mass. We employ
observational constraints from neutron stars to narrow down the allowed range
of the parameters of dark matter.
