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GATE Electrical 2012 | Question: 6

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A system with transfer function $$G(s) =\frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$$ is excited by $\sin (\omega t)$. The steady-state output of the system is zero at

  1. $\omega = 1 \text{ rad/s}$
  2. $\omega = 2\text{ rad/s}$
  3. $\omega = 3 \text{ rad/s}$
  4. $\omega = 4 \text{ rad/s}$

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