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

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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