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A $1.0 \; \mathrm{kHz}$ signal is flat-top sampled at the rate of $1800$ samples sec and the samples are applied to an ideal rectangular $\text{LPF}$ with cat-off frequency of $1100 \mathrm{~Hz}$, then the output of the filter contains.

  1. only $800 \mathrm{~Hz}$ component
  2. $800 \mathrm{~Hz}$ and $900 \mathrm{~Hz}$ components
  3. $800 \mathrm{~Hz}$ and $1000 \mathrm{~Hz}$ components
  4. $800 \mathrm{~Hz}, 900$ and $1000 \mathrm{~Hz}$ components

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