The open-loop transfer function of the system shown in the figure, is

$$ G(s)=\frac{K s(s+2)}{(s+5)(s+7)} $$

For $K \geq 0$, which of the following real axis point(s) is/are on the rool locus?

The root locus of unity feedback system is shown in figure

The closed loop transfer function of the system is

Figure shows the root locus plot (location of poles not given) of a third order system whose open loop transfer function is

Which of the following figure(s) represent valid root loci in the $$s$$ - plane for positive $$K?$$ Assume that the system has transfer function with real coefficient.