The open loop transfer function of a closed loop control system is given as

\({\rm{G}}\left( {\rm{s}} \right){\rm{H}}\left( {\rm{s}} \right) = \frac{K}{{s\left( {{s^2} + 6s + 10} \right)}}\) Which of the following are correct statements regarding the root locus of above system is

1
Entire x – axis to the left of origin is in root – locus
2
As the value of K increases the system stability improves
3
The breakaway point exists in the range -1 < Re [s] < 0
4
None of the above

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