$x_{R}$ and  $x_{A}$ are, respectively, the rms and average values of $x(t)= x(t-T)$, and similarly, $y_{R}$ and $y_{A}$ are, respectively,the rms and average values of $y(t)= kx(t). k,\:T$ are independent of $t$. 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. $y_{A}\neq kx_{A};y_{R}\neq kx_{R}$