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Previous year question hub

Complex variables - Engineering Sciences Previous Year Questions

Practice Complex variables - Engineering Sciences previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

16Papers
16Years
18Questions
1Topics

Complex variables question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Complex variables. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 12 66.7%
Easy 5 27.8%
Hard 1 5.6%

Question type distribution

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

MCQ 15 83.3%
Numerical Answer Type (NAT) 3 16.7%

Subject weightage

Top subjects by unique question coverage.

Engineering Sciences
18 Qs

Most asked topics

Top topics across the included previous year papers.

Complex variables
18 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Complex Numbers and Analytic Functions
18 Qs

Paper coverage

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

Engineering Sciences (XE) 2026
1 Qs
Engineering Sciences (XE) 2025
1 Qs
Engineering Sciences (XE) 2024
1 Qs
Engineering Sciences (XE) 2023
1 Qs
Engineering Sciences (XE) 2022
1 Qs
Engineering Sciences (XE) 2021
1 Qs
Engineering Sciences (XE) 2020
1 Qs
Engineering Sciences (XE) 2019
2 Qs
Engineering Sciences (XE) 2018
1 Qs
Engineering Sciences (XE) 2017
1 Qs
Engineering Sciences (XE) 2016
1 Qs
Engineering Sciences (XE) 2015
1 Qs
Engineering Sciences (XE) 2014
1 Qs
Engineering Sciences (XE) 2013
2 Qs
Engineering Sciences (XE) 2012
1 Qs
Engineering Sciences (XE) 2008
1 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Complex Numbers and Analytic Functions

Explore previous-paper coverage, trends and focused practice for Complex Numbers and Analytic Functions.

18 questions16 papers16 years

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Engineering Sciences (XE) 202620261View paper
Engineering Sciences (XE) 202520251View paper
Engineering Sciences (XE) 202420241View paper
Engineering Sciences (XE) 202320231View paper
Engineering Sciences (XE) 202220221View paper
Engineering Sciences (XE) 202120211View paper
Engineering Sciences (XE) 202020201View paper
Engineering Sciences (XE) 201920192View paper
Engineering Sciences (XE) 201820181View paper
Engineering Sciences (XE) 201720171View paper
Engineering Sciences (XE) 201620161View paper
Engineering Sciences (XE) 201520151View paper
Engineering Sciences (XE) 201420141View paper
Engineering Sciences (XE) 201320132View paper
Engineering Sciences (XE) 201220121View paper
Engineering Sciences (XE) 200820081View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2008 · Engineering Sciences · Complex variables · Complex Numbers and Analytic Functions
Engineering Sciences (XE) 2008
The value of the integral \( \oint_{|z|=3} \frac{e^{1/z}}{(z-1)^2} dz \) is
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2
2012 · Engineering Sciences · Complex variables · Complex Numbers and Analytic Functions
Engineering Sciences (XE) 2012
Consider two functions \( f(z) = |z| \) and \( g(z) = \bar{z} \) (conjugate of \( z \)). Using Cauchy-Riemann conditions, choose the correct answer
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3
2013 · Engineering Sciences · Complex variables · Complex Numbers and Analytic Functions
Engineering Sciences (XE) 2013
Consider the function \(f(z) = z^2 \bar{z}, \; z \in \mathbb{C}\). At \(z = 0\), the function \(f\)
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4
2014 · Engineering Sciences · Complex variables · Complex Numbers and Analytic Functions
Engineering Sciences (XE) 2014
At z = 0, the complex function f(z) = z|z|²
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5
2015 · Engineering Sciences · Complex variables · Complex Numbers and Analytic Functions
Engineering Sciences (XE) 2015
For a complex number \(k\) and a complex variable \(z\), the complex function \((z + k)^2\) is analytic
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6
2016 · Engineering Sciences · Complex variables · Complex Numbers and Analytic Functions
Engineering Sciences (XE) 2016
The Laurent series of \( f(z) = 1/(z^3 - z^4) \) with center at \( z = 0 \) in the region \( |z| > 1 \) is
Open complete paper