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Previous year question hub

Analysis of Complex Variables - Engineering Mathematics - Instrumentation Engineering Previous Year Questions

Practice Analysis of Complex Variables - Engineering Mathematics - Instrumentation Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

21Papers
18Years
30Questions
1Topics

Analysis of Complex Variables 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 16 53.3%
Medium 14 46.7%

Question type distribution

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

MCQ 23 76.7%
Numerical Answer Type (NAT) 4 13.3%
MSQ 3 10%

Subject weightage

Top subjects by unique question coverage.

Instrumentation Engineering
30 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
30 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Analysis of Complex Variables
30 Qs

Paper coverage

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

Instrumentation Engineering (IN) 2026
1 Qs
Instrumentation Engineering (IN) 2025
2 Qs
Instrumentation Engineering (IN) 2024
2 Qs
Instrumentation Engineering (IN) 2023
2 Qs
Instrumentation Engineering (IN) 2022
2 Qs
Instrumentation Engineering (IN) 2021
2 Qs
Instrumentation Engineering (IN) 2020
1 Qs
Instrumentation Engineering (IN) 2019
1 Qs
Instrumentation Engineering (IN) 2018
1 Qs
Instrumentation Engineering (IN) 2017
1 Qs
Instrumentation Engineering (IN) 2016
2 Qs
Instrumentation Engineering (IN) 2015
1 Qs
Instrumentation Engineering (IN) 2013 [Session 1]
1 Qs
Instrumentation Engineering (IN) 2013 [Session 2]
1 Qs
Instrumentation Engineering (IN) 2013 [Session 3]
1 Qs
Instrumentation Engineering (IN) 2013 [Session 4]
1 Qs
Instrumentation Engineering (IN) 2011
1 Qs
Instrumentation Engineering (IN) 2010
1 Qs
Instrumentation Engineering (IN) 2009
3 Qs
Instrumentation Engineering (IN) 2008
1 Qs
Instrumentation Engineering (IN) 2007
2 Qs

Included previous year papers

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

Paper nameYearPDFAttempt
Instrumentation Engineering (IN) 20262026
1 questions in this view		2026
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20252025
2 questions in this view		2025
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20242024
2 questions in this view		2024
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20232023
2 questions in this view		2023
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20222022
2 questions in this view		2022
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20212021
2 questions in this view		2021
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20202020
1 questions in this view		2020
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20192019
1 questions in this view		2019
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20182018
1 questions in this view		2018
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20172017
1 questions in this view		2017
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20162016
2 questions in this view		2016
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20152015
1 questions in this view		2015
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 2013 [Session 1]2013
1 questions in this view		2013
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 2013 [Session 2]2013
1 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 2013 [Session 3]2013
1 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 2013 [Session 4]2013
1 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20112011
1 questions in this view		2011
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20102010
1 questions in this view		2010
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20092009
3 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20082008
1 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Instrumentation Engineering (IN) 20072007
2 questions in this view		2007
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

All Analysis of Complex Variables previous year questions

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

1
2009 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2009
If \( z = x + jy \), where \( x \) and \( y \) are real, the value of \( e^{|z|} \) is
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2
2009 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2009
The value of \( \oint \frac{\sin z}{z} dz \), where the contour of integration is a simple closed curve around the origin, is
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3
2009 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2009
One of the roots of the equation x³ = j, where j is the positive square root of −1, is
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4
2010 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2010
The contour C in the adjoining figure is described by \( x^2 + y^2 = 16 \). The value of \( \oint_C \frac{z^2 + 8}{0.5z - 1.5j} dz \) is (Note: \( j = \sqrt{-1} \))
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5
2011 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2011
The contour integral \(\oint_C e^{1/z} dz\) with \(C\) as the counter-clockwise unit circle in the z-plane is equal to
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6
2013 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2013 [Session 1]
The complex function $\tanh(s)$ is analytic over a region of the imaginary axis of the complex s-plane if the following is TRUE everywhere in the region for all integers $n$
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7
2013 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2013 [Session 2]
The complex function \( \tanh(s) \) is analytic over a region of the imaginary axis of the complex \( s \)-plane if the following is TRUE everywhere in the region for all integers \( n \)
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8
2013 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2013 [Session 3]
The complex function tanh(s) is analytic over a region of the imaginary axis of the complex s-plane if the following is TRUE everywhere in the region for all integers n
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9
2013 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2013 [Session 4]
The complex function \( \tanh(s) \) is analytic over a region of the imaginary axis of the complex s-plane if the following is TRUE everywhere in the region for all integers \( n \)
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10
2015 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2015
The value of \(\oint \frac{1}{z^2} dz\), where the contour is the unit circle traversed clockwise, is
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11
2016 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2016
The value of the integral (1/(2πj))∮ (z² + 1)/(z² - 1) dz where z is a complex number and C is a unit circle with center at 1 + 0j in the complex plane is ______.
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12
2016 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2016
In the neighborhood of $z = 1$, the function $f(z)$ has a power series expansion of the form $f(z) = 1 + (1 - z) + (1 - z)^2 + .........$ Then $f(z)$ is
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13
2024 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2024
Let \( z = x + iy \) be a complex variable and \( \bar{z} \) be its complex conjugate. The equation \( \bar{z}^2 + z^2 = 2 \) represents a
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14
2024 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2024
The complex functions \( f(z) = u(x,y) + i \, v(x,y) \) and \( \overline{f}(\overline{z}) = u(x,y) - i \, v(x,y) \) are both analytic in a given domain. Choose the correct option(s) from the following.
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15
2025 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2025
Consider the function \( f(z)=\frac{2z+1}{z^2-z} \), where \( z \) is a complex variable. The sum of the residues at singular points of \( f(z) \) is ________ (in integer).
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16
2025 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2025
Choose the correct statement(s) from the following options, regarding Cauchy’s theorem on complex integration \(\oint_C f(z) \, dz\) where \(C\) is a simple closed path in a simply connected domain \(D\).
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17
2007 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2007
Let \( j = \sqrt{-1} \). Then one value of \( j^j \) is
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18
2007 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2007
For the function \(\frac{\sin z}{z^3}\) of a complex variable \(z\), the point \(z=0\) is
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19
2008 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2008
A complex variable \( Z = x + j0.1 \) has its real part \( x \) varying in the range \( -\infty \) to \( +\infty \). Which one of the following is the locus (shown in thick lines) of \( \frac{1}{Z} \) in the complex plane?
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20
2017 · Instrumentation Engineering · Engineering Mathematics · Analysis of Complex Variables
Instrumentation Engineering (IN) 2017
Let \(z = x + jy\) where \(j = \sqrt{-1}\). Then \(\overline{\cos z} =\)
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