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Suppose signal $y(t)$ is obtained by the time-reversal of signal $x(t)$, i.e., $y(t)=x(-t),-\infty<t<\infty$. Which one of the following options is always true for the convolution of $x(t)$ and $y(t)$?

  1. It is an even signal.
  2. It is an odd signal.
  3. It is a causal signal.
  4. It is an anti-causal signal.
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