We discuss stochastic resonance in a biased linear quantum system that is subject to Multiplicative and additive noises. Starting from a microscopic system-reservoir Hamiltonian, we derive a c-number analogue of the generalized Langevin equation. The developed approach Puts forth a quantum mechanical generalization of the "Kubo type" oscillator which is a linear system. Such a system is often used in the literature to study various phenomena in nonequilibrium systems via a particular interaction between system and the external noise. Our analytical results proposed here have the ability to reveal the role of external noise and vis-a-vis the mechanisms and detection Of Subtle underlying signatures of the stochastic resonance behavior in a linear system. In our development. we show chat only when the external noise possesses a "finite Correlation time" the quantum effect begins to appear. We observe that the quantum effect enhances the resonance in comparison to the classical one.