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Previous year question hub

Complex Numbers - Algebra - Mathematics Previous Year Questions

Practice Complex Numbers - Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

8Papers
8Years
8Questions
1Topics

Complex Numbers question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 8 100%

Question type distribution

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

Multiple Choices 8 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
8 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
8 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Complex Numbers
8 Qs

Paper coverage

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

KCET 2025
1 Qs
KCET 2024
1 Qs
KCET 2023
1 Qs
KCET 2022
1 Qs
KCET 2021
1 Qs
KCET 2020
1 Qs
KCET 2018
1 Qs
KCET 2017
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
KCET 202520251View paper
KCET 202420241View paper
KCET 202320231View paper
KCET 202220221View paper
KCET 202120211View paper
KCET 202020201View paper
KCET 201820181View paper
KCET 201720171View paper

All Complex Numbers previous year questions

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

1
2017 · Mathematics · Algebra · Complex Numbers
KCET 2017
If $\left(\frac{1+i}{1-i}\right)^m=1$, then the least positive integral value of $m$ is
A
2
B
4
C
3
D
1
Open complete paper
2
2018 · Mathematics · Algebra · Complex Numbers
KCET 2018
If $\left(\frac{1-i}{1+i}\right)^{96}=a+i b$, then $(a, b)$ is
A
$(1,1)$
B
$(0,1)$
C
$(1,0)$
D
$(0,-1)$
Open complete paper
3
2020 · Mathematics · Algebra · Complex Numbers
KCET 2020

If \(z=x+i y\), then the equation \(|z+1|=|z-1|\) represents

A
a circle
B
a parabola
C
\(X\)-axis
D
\(Y\)-axis
Open complete paper
4
2021 · Mathematics · Algebra · Complex Numbers
KCET 2021

If \(\left(\frac{1+i}{1-i}\right)^x=1\), then

A
\(x=4 n+1, n \in N\)
B
\(x=2 n+1, n \in N\)
C
\(x=2 n, n \in N\)
D
\(x=4 n, n \in N\)
Open complete paper
5
2022 · Mathematics · Algebra · Complex Numbers
KCET 2022

If \(3 x+i(4 x-y)=6-i\) where \(x\) and \(y\) are real numbers, then the values of \(x\) and \(y\) are respectively,

A
3, 9
B
2, 4
C
2, 9
D
3, 4
Open complete paper
6
2023 · Mathematics · Algebra · Complex Numbers
KCET 2023

The modulus of the complex number \(\frac{(1+i)^2(1+3 i)}{(2-6 i)(2-2 i)}\) is

A
\(\frac{2}{\sqrt{2}}\)
B
\(\frac{1}{\sqrt{2}}\)
C
\(\frac{\sqrt{2}}{4}\)
D
\(\frac{4}{\sqrt{2}}\)
Open complete paper
7
2024 · Mathematics · Algebra · Complex Numbers
KCET 2024

The real value of ' $\alpha$ ' for which $\frac{1-i \sin \alpha}{1+2 i \sin \alpha}$ is purely real is

A
$(n+1) \frac{\pi}{2}, n \in N$
B
$(2 n+1) \frac{\pi}{2}, n \in N$
C
$n \pi, n \in N$
D
$(2 n-1) \frac{\pi}{2}, n \in N$
Open complete paper
8
2025 · Mathematics · Algebra · Complex Numbers
KCET 2025

If $Z_1$ and $Z_2$ are two non-zero complex numbers, then which of the following is not true?

A
$\overline{Z_1+Z_2}=\bar{Z}_1+\bar{Z}_2$
B
$\left|Z_1 Z_2\right|=\left|Z_1\right| \cdot\left|Z_2\right|$
C
$\overline{\mathrm{Z}_1 \mathrm{Z}_2}=\overline{\mathrm{Z}}_1 \cdot \overline{\mathrm{Z}}_2$
D
$\left|\mathrm{Z}_1+\mathrm{Z}_2\right| \geq\left|\mathrm{Z}_1\right|+\left|\mathrm{Z}_2\right|$
Open complete paper