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GATE ECE 1991 | Question 1.11

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GATE ECE 1991 | Question-11

The characteristic equation of a feedback control system is given by

$$ s^3+5 s^2+(K+6) s+K=0 $$

Where $K>0$ is a scalar variable parameter. In the root loci 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

  1. $(-3,0)$
  2. $(-2,0)$
  3. $(-1,0)$
  4. $(2,0)$

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