GATE Electronics and Communications (EC) 2017 Shift 1 Solved Paper

A linear time invariant (LTI) system with the transfer function
$\mathit{G}\left(\mathit{s}\right)=\frac{\mathit{K}\left({\mathit{s}}^2+2\mathit{s}+2\right)}{\left({\mathit{s}}^2-3\mathit{s}+2\right)}$
Is connected in unity feedback configuration as shown in the figure

For the closed-loop system shown, the root locus for 0 < K < ∞ intersects the imaginary axis for K = 1.5. The closed-loop system is stable for