GATE 2026 EC – Question 43

Consider a real signal $x(t)$, $-\infty<t<\infty$, such that $x(t)=0$ for $t<0$, $x(t)=2$ for $0\le t<1$ and $x(t)=0$ for $t\ge1$. Let $E[x(t)]=\int_{-\infty}^{\infty}[x(t)]^2dt$. Which of the following options correctly represents the ratio, $E[x(t)]/E[3x(-3t+5)]$?