Much of the recent studies concerned with coupled oscillator systems is focused on introducing the amplitude death phenomenon in oscillators whose equilibrium points are otherwise unstable in uncoupled state resulting in limit cycle oscillations. This article presents a review on a recent research work that induces amplitude death in coupled Van der Pol oscillators. The coupling is through diffusive flow of conjugate dynamical variables. Further exploration is done to understand the variation of amplitude death regime or range of values of coupling strength with that of the characteristic parameters of the oscillators, namely nonlinearity parameter and natural frequency. We also establish the condition between the characteristic parameters for which such type of conjugate coupling fails to instigate amplitude death regime. Oscillators showing amplitude death have been used extensively in many microscopic physical and biological applications. Finally, a rigorous discussion on the output characteristics of such coupled VdP oscillator pairs for different ranges of values of coupling strength is also furnished. Such knowledge of output characteristics will be of importance for a scientific personnel in the domain of applied physics who wish to use this type of conjugate coupled VdP oscillator in their specific applications.