The presence of the supermassive black holes (SMBH) at the center of an active galaxy is not merely triggering the mass accretion on to it but may play a crucial role in predicting the final evolution of the stellar masses of its host galaxy. The present observed proportionality of the SMBH and the host galaxy mass can be predicted using Active Galactic Nucleus (AGN) feedback (radiative/wind mode and kinetic/jet mode) phenomena. The impact of these feedbacks can be seen on local galaxy environments to a large scale in the intergalactic medium (IGM) and hence their studies are vital. In this thesis, we study both the modes viz. wind mode and jet mode of the AGN feedback to understand the dynamics of the gases in the central region of AGNs as well as the metal enrichment of the IGM. We explore in detail the methods of absorption/emission line studies and continuum variabilities in the AGNs to examine the environmental conditions around them. Based on the absorption line study of the archival spectra of 191 blazars, we inquire the role of associated jets onto the low ionization MgII intervening galaxies beyond 5000 km/s and intend to answer whether or not the recent claimed excess of the incidence rate of these intervening galaxies is background dependent. Through the high ionization CIV absorption line variabilities with emerging associated absorption troughs in broad absorption quasars (BALQSOs), we aim to derive the quasar wind lifetimes, locations, geometries, kinetic luminosities of the outflow and hence the physical mechanisms responsible for these outflows. We have performed the intra-night optical monitoring of 10 blazar like-BALQSOs with high radio polarisation and flat spectral indices using 1.3m DFOT, ARIES to analyze the continuum variation and hence to provide a clue on to the location of production of high-velocity outflows i.e. whether we are viewing BALQSOs closer to the disc plane or perpendicular to the disc. Our study rule out the puzzling excess rate of incidence of intervening MgII galaxies (i.e. dN/dz) towards the blazars compare to normal QSOs. However, we show a possibility that associated MgII absorbers remain a significant contributor to dN/dz up to velocity offset of 0.2c measured relative to the background QSOs. The spectral studies of extremely variable appearing/emerging BAL QSOs, performed with a large sample of BALQSOs derived from SDSS DR7 and DR12/14 has allowed us to find a representative set of physical properties for the emerging subclass of BALQSOs. Our photometric analysis of 10 jet-aligned polar BAL QSOs shows no INOV detection, suggesting that the physical conditions in the relativistic jets of BAL quasars are less conducive for strong INOV.