Control Systems - Root Locus

The open-loop transfer function of the system shown in the figure, is $G(s) = \frac{Ks(s + 2)}{(s + 5)(s + 7)}$ For $K \ge 0$, which of the following real axis point(s) is/are on the root locus?

Consider the closed-loop system shown in the figure with $G(s) = \frac{K(s^2 - 2s + 2)}{(s^2 + 2s + 5)}$ The root locus for the closed-loop system is to be drawn for $0 \le K < \infty$. The angle of departure (between 0°...

The root locus of the feedback control system having the characteristic equation s² +6Ks +2s+5=0 where K > 0, enters into the real axis at