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The pole-zero plots of three discrete-time systems $P, Q$ and $R$ on the $z$-plane are shown below.

Which one of the following is TRUE about the frequency selectivity of these systems?

  1. All three are high-pass filters.
  2. All three are band-pass filters.
  3. All three are low-pass filters.
  4. $P$ is low-pass filter. $Q$ is a band-pass filter and $R$ is a high-pass filter.
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