Automatic Control Systems
The addition of a pole to the open loop transfer function pulls the root locus

Towards right or left depending on the position of new pole
To the right
To the left and making the system more stable
None of these

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Automatic Control Systems
A lag compensator

Improves steady state behavior of the system
Improves steady state behavior and preserves the transient response of the system
Improves steady state behavior and speeds up the transient response of the system
Speeds up the transient response of the system

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