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Previous year question hub

Complex Analysis - Engineering Mathematics - Electronics & Communication Engineering Previous Year Questions

Practice Complex Analysis - Engineering Mathematics - Electronics & Communication Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

20Papers
17Years
27Questions
1Topics

Complex Analysis question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 15 55.6%
Medium 12 44.4%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 20 74.1%
Numerical Answer Type (NAT) 5 18.5%
MSQ 2 7.4%

Subject weightage

Top subjects by unique question coverage.

Electronics & Communication Engineering
27 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
27 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Complex Analysis
27 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Electronics & Communication Engineering (EC) 2025
1 Qs
Electronics & Communication Engineering (EC) 2024
1 Qs
Electronics & Communication Engineering (EC) 2023
2 Qs
Electronics & Communication Engineering (EC) 2022
1 Qs
Electronics & Communication Engineering (EC) 2021
1 Qs
Electronics & Communication Engineering (EC) 2019
2 Qs
Electronics & Communication Engineering (EC) 2018
1 Qs
Electronics & Communication Engineering (EC) 2017
2 Qs
Electronics & Communication Engineering (EC) 2017 [Session 2]
2 Qs
Electronics & Communication Engineering (EC) 2016 [Session 3]
2 Qs
Electronics & Communication Engineering (EC) 2016 [Session 1]
1 Qs
Electronics & Communication Engineering (EC) 2015 [Session 3]
1 Qs
Electronics & Communication Engineering (EC) 2014 [Session 1]
1 Qs
Electronics & Communication Engineering (EC) 2014 [Session 2]
1 Qs
Electronics & Communication Engineering (EC) 2012
2 Qs
Electronics & Communication Engineering (EC) 2011
1 Qs
Electronics & Communication Engineering (EC) 2010
1 Qs
Electronics & Communication Engineering (EC) 2009
1 Qs
Electronics & Communication Engineering (EC) 2008
2 Qs
Electronics & Communication Engineering (EC) 2007
1 Qs

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Electronics & Communication Engineering (EC) 20252025
1 questions in this view
2025
Electronics & Communication Engineering (EC) 20242024
1 questions in this view
2024
Electronics & Communication Engineering (EC) 20232023
2 questions in this view
2023
Electronics & Communication Engineering (EC) 20222022
1 questions in this view
2022
Electronics & Communication Engineering (EC) 20212021
1 questions in this view
2021
Electronics & Communication Engineering (EC) 20192019
2 questions in this view
2019
Electronics & Communication Engineering (EC) 20182018
1 questions in this view
2018
Electronics & Communication Engineering (EC) 20172017
2 questions in this view
2017
Electronics & Communication Engineering (EC) 2017 [Session 2]2017
2 questions in this view
2017
Electronics & Communication Engineering (EC) 2016 [Session 1]2016
1 questions in this view
2016
Electronics & Communication Engineering (EC) 2016 [Session 3]2016
2 questions in this view
2016
Electronics & Communication Engineering (EC) 2015 [Session 3]2015
1 questions in this view
2015
Electronics & Communication Engineering (EC) 2014 [Session 1]2014
1 questions in this view
2014
Electronics & Communication Engineering (EC) 2014 [Session 2]2014
1 questions in this view
2014
Electronics & Communication Engineering (EC) 20122012
2 questions in this view
2012
Electronics & Communication Engineering (EC) 20112011
1 questions in this view
2011
Electronics & Communication Engineering (EC) 20102010
1 questions in this view
2010
Electronics & Communication Engineering (EC) 20092009
1 questions in this view
2009
Electronics & Communication Engineering (EC) 20082008
2 questions in this view
2008
Electronics & Communication Engineering (EC) 20072007
1 questions in this view
2007

All Complex Analysis previous year questions

Practice every matching question in batches of 20, with every available option.

1
2007 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2007
If the semi-circular contour D of radius 2 is as shown in the figure, then the value of the integral \frac{1}{jπ} ∮_D \frac{1}{s² - 1} ds is

Question diagram

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2
2008 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2008
The equation \(\sin(z) = 10\) has
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3
2008 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2008
The residue of the function \(f(z) = \frac{1}{(z+2)^2(z-2)^2}\) at \(z=2\) is
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4
2009 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2009
If \(f(z) = c_0 + c_1 z^{-1}\), then \(\oint_{\text{unit circle}} \frac{1+f(z)}{z} dz\) is given by
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5
2010 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2010
The residues of a complex function \(X(z) = \frac{1-2z}{z(z-1)(z-2)}\) at its poles are
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6
2011 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2011
The value of the integral \(\oint_C \frac{-3z+4}{z^2+4z+5} dz\) where \(c\) is the circle \(|z|=1\) is given by
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7
2012 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2012
Given \( f(z) = \frac{1}{z+1} - \frac{2}{z+3} \). If \( C \) is a counterclockwise path in the \( z \)-plane such that \( |z+1| = 1 \), the value of \( \frac{1}{2\pi j} \int_C f(z) dz \) is
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8
2012 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2012
If \( x = \sqrt{-1} \), then the value of \( x^x \) is
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9
2014 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2014 [Session 1]
\(C\) is a closed path in the z-plane given by \(|z| = 3\). The value of the integral \(\oint_C \left(\frac{z^2 - z + 4j}{z + 2j}\right) dz\) is
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10
2014 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2014 [Session 2]
The real part of an analytic function $f(z)$ where $z = x + jy$ is given by $e^{-y} \cos(x)$. The imaginary part of $f(z)$ is
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11
2015 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2015 [Session 3]
If C is a circle of radius r with centre \( z_0 \), in the complex z-plane and if n is a non-zero integer, then \( \oint_C \frac{dz}{(z-z_0)^{n+1}} \) equals
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12
2016 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2016 [Session 1]
In the following integral, the contour C encloses the points 2 and −2. \[-\frac{1}{2\pi j}\oint_C \frac{\sin z}{(z - 2\pi j)^3} dz\] The value of the integral is ______
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13
2016 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2016 [Session 3]
The values of the integral \(\frac{1}{2 \pi j} \oint_c \frac{e^z}{z-2} d z\) along a closed contour \(c\) in anti-clockwise direction for
(i) the point \(z_0 = 2\) inside the contour \(c\), and
(ii) the point \(z_0 = 2\) outside the contour \(c\),
respectively, are
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14
2016 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2016 [Session 3]
For \( f(z) = \frac{\sin(z)}{z^2} \), the residue of the pole at z = 0 is __________
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15
2017 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2017

The residues of a function f(z) = 1/((z-4)(z+1)3) are

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16
2017 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2017

An integral I over a counterclockwise circle C is given by I = ∮C (z2 - 1)/(z2 + 1) ez dz. If C is defined as |z| = 3, then the value of I is

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17
2018 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2018
The contour C given below is on the complex plane z = x + jy, where j = √-1.
The value of the integral \[ \frac{1}{\pi j} \oint_C \frac{dz}{z^2 - 1} \] is ______.
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18
2019 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2019
Which one of the following functions is analytic over the entire complex plane?
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19
2019 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2019
The value of the contour integral
\[ \frac{1}{2\pi j} \oint \left( z + \frac{1}{z} \right)^2 dz \]
evaluated over the unit circle \( |z| = 1 \) is ______.
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20
2021 · Electronics & Communication Engineering · Engineering Mathematics · Complex Analysis
Electronics & Communication Engineering (EC) 2021
Consider the integral \[ \oint_{C} \frac{\sin(x)}{x^2(x^2+4)} \, dx \] where \( C \) is a counter-clockwise oriented circle defined as \( |x - i| = 2 \). The value of the integral is
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Showing 20 of 27 questions