GATE EE 2015 Set 2 — Question 39

MCQ+2 / -0.67MediumCTFT & DTFTFourier Analysis & SamplingSignals & Systems

Signals & Systems → Fourier Analysis & Sampling → CTFT & DTFT

Last updated 5 September 2026

Question

x(t) = \begin{cases} e^{j10t} & \text{for } |t| \leq 1 \\ 0 & \text{for } |t| > 1 \end{cases}

x(t)

Review answer and solution without JavaScript

Interactive answer checking needs JavaScript. The published solution is available below.

x(t)

Continue learning with Success Tracker

Use Success Tracker to ask about the reasoning, then try another GATE EE question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans

PYQs with solutions: Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts: Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support: Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.