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The transfer function of a second order real system with a perfectly flat magnitude response of unity has a pole at $(2 − j3)$. List all the poles and zeroes.

  1. Poles at $(2 \pm  j3)$, no zeroes.
  2. Poles at $(\pm 2 − j3)$, one zero at origin.
  3. Poles at $(2 − j3)$, $(−2 + j3)$, zeroes at $(−2 − j3)$, $(2 + j3)$.
  4. Poles at $(2 \pm  j3)$, zeroes at $(−2 \pm  j3)$.
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