In this study, we analyzed the boundary layer flow of chemically reacting MHD Jeffrey nanofluid flow over a vertical cone and flat plate in a porous medium with thermophoresis, Brownian motion and thermal radiation effects. The transformed nonlinear coupled ordinary differential equations are solved numerically using Runge-Kutta based shooting technique. The obtained results depict the effects of various non-dimensional governing parameters on velocity, temperature and concentration profiles along with the friction factor, local Nusselt and Sherwood numbers. We presented dual solutions for the flow over a cone and a vertical flat plate cases. Results proved that the heat transfer performance of the flow over a cone is highly significant when compared with the flow over a flat plate. Non-Newtonian parameter have tendency to increase the heat and mass transfer rate.