The characteristic equation of a feedback control system is given by [ s^{3}+5 s^{2}+(mathrm{K}+6) s+mathrm{K}=0 ] where

Question:

The characteristic equation of a feedback control system is given by

\[
s^{3}+5 s^{2}+(\mathrm{K}+6) s+\mathrm{K}=0
\]

where $\mathrm{K}>0$ is a scalar variable parameter. In the rootloci diagram of the system the asymptotes of the root locus for large values of $\mathrm{K}$ meet at a point in the s-plane, whose coordinates are:
(a) $(-3,0)$
(b) $(-2,0)$
(c) $(-1,0)$
(d) $(2,0)$.

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