  We analysed the shadow cast by charged rotating black hole (BH) in presence
of perfect fluid dark matter (PFDM). We studied the null geodesic equations and
obtained the shadow of the charged rotating BH to see the effects of PFDM
parameter $\gamma$, charge $Q$ and rotation parameter $a$, and it is noticed
that the size as well as the shape of BH shadow is affected due to PFDM
parameter, charge and rotation parameter. Thus, it is seen that the presence of
dark matter around a BH affects its spacetime. We also investigated the
influence of all the parameters (PFDM parameter $\gamma$, BHs charge $Q$ and
rotational parameter $a$) on effective potential, energy emission by graphical
representation, and compare all the results with the non rotating case in usual
general relativity. To this end, we have also explored the effect of PFDM on
the deflection angle and the size of Einstein rings.

General Relativity and Quantum Cosmology