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$x_{R}$ and $x_{A}$ are, respectively, the rms and average values of $x\left ( t \right )=x\left ( t-T \right ),$ and similarly, $y_{R}$ and $y_{A}$ are, respectively, the rms and average values of $y\left ( t \right )=kx\left ( t \right ).\:k,T$ are independent of $\text{t}$. Which of the following is true?

  1. $y_{A}=kx_{A} ;\:y_{R}= kx_{R}$
  2. $y_{A}=kx_{A} ;\:y_{R}\neq kx_{R}$
  3. $y_{A}\neq kx_{A} ;\:y_{R}= kx_{R}$
  4. $y_{A}\neq kx_{A} ;\:y_{R}\neq kx_{R}$
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