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A $1 \; \mathrm{kHz}$ sinusoidal signal is ideally sampled at $1500$ samples/sec and the sampled signal is passed through an ideal low-pass filter with cut-off frequencey $800 \mathrm{~Hz}$. The output signal has the frequency

  1. zero $\text{Hz}$
  2. $0.75 \; \mathrm{kHz}$
  3. $0.5 \; \mathrm{kHz}$
  4. $0.25 \; \mathrm{kHz}$
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