Consider a system shown in the figure. Let $X(f)$ and $Y(f)$ denote the Fourier transforms of $X(t)$ and $y(t)$ respectively. The ideal HPF has the cutoff frequency $10 \mathrm{kHz}$.
The positive frequencies where $Y(f)$ has spectral peaks are
- $1 \; \mathrm{kHz}$ and $24 \; \mathrm{kHz}$
- $2 \; \mathrm{kHz}$ and $24 \; \mathrm{kHz}$
- $1 \; \mathrm{kHz}$ and $14 \; \mathrm{kHz}$
- $2 \; \mathrm{kHz}$ and $14 \; \mathrm{kHz}$