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A square wave signal of frequency $20$ $\mathrm{kHz}$ is passed through an ideal low-pass filter with cut-off frequency of $21$ $\mathrm{kHz}$. The output signal is a $\_\_\_\_\_\_$.

  1. $20$ $\mathrm{kHz}$ sine wave
  2. $20$ $\mathrm{kHz}$ square wave
  3. $20$ $\mathrm{kHz}$ triangular wave
  4. $20$ $\mathrm{kHz}$ saw-tooth wave

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