This article presents to evaluating the sway of thermal radiation and chemical reaction on MHD flow of Ag/SWCNT – Water based Maxwell hybrid nanoliquid over a vertical cone by considering Cattaneo - Christov heat flux, convective boundary condition and suction parameter. By using appropriate transformations the nonlinear partial differential equations are converted into ordinary differential equations. The governing dimensionless equations are solved by using an optimized and extensively validated Finite element method. The sway of dissimilar parameter on hydrodynamic, thermal and solutal boundary layer is perceived and the results are laid out graphically. Additionally, the values of skin – friction coefficient, Nusselt number and Sherwood numbers are authorized for different values of pertinent parameters and results are demonstrated in tabular form. Comparison of the present problem results with existing results shows good agreement. The key observations are summarized as the velocity grows with (ϕ1), Temperature increases for Biot number (Bi) and Skin – friction coefficient, Sherwood number declines, nevertheless Nusselt number escalates as values of Deborah number (α) improves.