# GATE2012-40

The characteristic equation for a system is

s$^{3}$+9s$^{2}$+26s+12(2+K${_c}$) = 0.

Using the Routh test, the value of  k${_c}$ that will keep the system on the verge of instability is

1. 20.9
2. 18.4
3. 17.5
4. 15.3

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