A control engineer is designing a feedback control system. Initially, the system's root locus is plotted for a given open$-$loop transfer function $\backslash ($ G$($s$)$ H$($s$)\backslash ).$

The engineer selects a point on the locus at $\backslash ($ s$=-2+$j $3\backslash )$ with a corresponding gain $\backslash ($ K $\backslash )$ to achieve desired performance characteristics. Later, a compensator is added, introducing an additional pole at $\backslash ($ s$=-4\backslash ).$ The root locus is recalculated, and it is observed that $\backslash ($ s$=-2+$j $3\backslash )$ is no longer on the new root locus.

What are the potential implications of using the original point $\backslash ($ s$=-2+$j $3\backslash )$ and gain $\backslash ($ K $\backslash )$ in the modified system?A$.$ The closed$-$loop poles may shift to a new location, causing a change in system dynamics.B$.$ The system will remain stable, as adding a pole does not affect stability.C$.$ The system's damping ratio and natural frequency may no longer meet the original design specifications.D$.$ The system might exhibit undesired performance or instability if the actual poles move into the right$-$half $\backslash ($ s $\backslash )-$plane.E$.$ The root locus plot for the modified system remains unchanged, as only the gain $\backslash ($ K $\backslash )$ affects it$.$F$.$ The original gain $\backslash ($ K $\backslash )$ is guaranteed to place the poles at $\backslash ($ s$=-2+$j $3\backslash )$ even in the modified system.