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Two sinusoidal signals of same amplitude and frequencies $10 \; \mathrm{kHz}$ and $10.1 \; \mathrm{kHz}$ are added together. The combined signal is given to an ideal frequency detector. The output of the detector is

  1. $0.1 \; \mathrm{kHz}$ sinusoid
  2. $20.1 \; \mathrm{kHz}$ sinusoid
  3. a linear function of time
  4. a constant
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