The root locus of a system is shown in figure below. The corresponding open loop transfer function is

(a) \(\frac{\mathrm{K} \mathrm{s}(s+1)}{(s+2)(s+3)}\)
(b) \(\frac{\mathrm{K}(s+1)}{s(s+2)(s+3)^{2}}\)
(c) \(\frac{\mathrm{K}}{s(s-1)(s+2)(s+3)}\)
(d) \(\frac{\mathrm{K}(s+1)}{\mathrm{s}(\mathrm{s}+2)(\mathrm{s}+3)}\).

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