Official PYQ · 2017Set 1 · Q31Continuous-time SignalsMCQ2 marks

GATE EC 2017 Set 1 Q31 — Continuous-time Signals

Let $x(t)$ be a continuous time periodic signal with fundamental period $T=1$ seconds.Let ${a_{k} }$ be the complex Fourier series coefficients of $x(t)$ , where $k$ is integer valued. Consider the following statements about $x(3t)$ :

The complex Fourier series coefficients of $x(3t)$ are ${a_{k}}$ where $k$ is integer valued
The complex Fourier series coefficients of $x(3t)$ are ${3a{k}}$ where $k$ is integer valued
The fundamental angular frequency of $x(3t)$ is $6\pi$ rad/s

For the three statements above, which one of the following is correct?

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Answer: B

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Published 10 Oct 2026

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