If \(E\) denotes expectation, the variance of a random variable \(X\) is given by
GATE Electronics & Communication Engineering (EC) - Previous Year Papers Previous Year Questions
Practice GATE Electronics & Communication Engineering (EC) - Previous Year Papers previous year questions organised from real papers, with year-wise coverage and clear topic navigation.
32Papers
20Years
2,115Questions
17Topics
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| Paper name | Year | Attempt | |
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Electronics and Communication Engineering (EC) 20262026 | 2026 |
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Electronics & Communication Engineering (EC) 20252025 | 2025 | |
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Electronics & Communication Engineering (EC) 20242024 | 2024 | |
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Electronics & Communication Engineering (EC) 20232023 | 2023 | |
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Electronics & Communication Engineering (EC) 20222022 | 2022 | |
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Electronics & Communication Engineering (EC) 20212021 | 2021 | |
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Electronics & Communication Engineering (EC) 20202020 | 2020 | |
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Electronics & Communication Engineering (EC) 20192019 | 2019 | |
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Electronics & Communication Engineering (EC) 20182018 | 2018 | |
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Electronics & Communication Engineering (EC) 20172017 | 2017 | |
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Electronics & Communication Engineering (EC) 2017 [Session 1]2017 | 2017 | |
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Electronics & Communication Engineering (EC) 2017 [Session 2]2017 | 2017 | |
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Electronics & Communication Engineering (EC) 2016 [Session 1]2016 | 2016 | |
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Electronics & Communication Engineering (EC) 2016 [Session 2]2016 | 2016 | |
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Electronics & Communication Engineering (EC) 2016 [Session 3]2016 | 2016 | |
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Electronics & Communication Engineering (EC) 2015 [Session 1]2015 | 2015 | |
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Electronics & Communication Engineering (EC) 2015 [Session 2]2015 | 2015 | |
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Electronics & Communication Engineering (EC) 2015 [Session 3]2015 | 2015 | |
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Electronics & Communication Engineering (EC) 2014 [Session 1]2014 | 2014 | |
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Electronics & Communication Engineering (EC) 2014 [Session 2]2014 | 2014 | |
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Electronics & Communication Engineering (EC) 2014 [Session 3]2014 | 2014 | |
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Electronics & Communication Engineering (EC) 2014 [Session 4]2014 | 2014 | |
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Electronics & Communication Engineering (EC) 2013 [Session 1]2013 | 2013 | |
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Electronics & Communication Engineering (EC) 2013 [Session 2]2013 | 2013 | |
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Electronics & Communication Engineering (EC) 2013 [Session 3]2013 | 2013 | |
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Electronics & Communication Engineering (EC) 2013 [Session 4]2013 | 2013 | |
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Electronics & Communication Engineering (EC) 20122012 | 2012 | |
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Electronics & Communication Engineering (EC) 20112011 | 2011 | |
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Electronics & Communication Engineering (EC) 20102010 | 2010 | |
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Electronics & Communication Engineering (EC) 20092009 | 2009 | |
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Electronics & Communication Engineering (EC) 20082008 | 2008 | |
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Electronics & Communication Engineering (EC) 20072007 | 2007 | |
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Sample previous year questions
A varied preview from the papers represented in this selection, with every available option.
2007 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2007
2008 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2008
All the four entries of the \(2 \times 2\) matrix $\mathbf{P} = \begin{bmatrix} p_{11} & p_{12} \\ p_{21} & p_{22} \end{bmatrix}$ are nonzero, and one of its eigenvalues is zero. Which of the following statements is true?
2009 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations
Electronics & Communication Engineering (EC) 2009
The order of the differential equation \(\frac{d^2y}{dt^2} + \left(\frac{dy}{dt}\right)^3 + y^4 = e^{-t}\) is
2010 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2010
2011 · Electronics & Communication Engineering · Electromagnetics · Waveguides, Optical Fibres and Antennas
Electronics & Communication Engineering (EC) 2011
The modes in a rectangular waveguide are denoted by TEmn/TMmn where m and n are the eigen numbers along the larger and smaller dimensions of the waveguide respectively. Which one of the following statements is TRUE?
2012 · Electronics & Communication Engineering · Analog Circuits · BJT and MOSFET Amplifiers
Electronics & Communication Engineering (EC) 2012
The current \(i_b\) through the base of a silicon \(npn\) transistor is \(1+0.1\cos(10000\pi t)\) mA. At 300 K, the \(r_\pi\) in the small signal model of the transistor is
