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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.

52Papers
6Years
53Questions
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 53 100%

Question type distribution

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

Multiple Choices 53 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
53 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
53 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Complex Numbers
53 Qs

Paper coverage

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

MHT CET 2025 19TH APRIL MORNING SHIFT
2 Qs
MHT CET 2025 19TH APRIL EVENING SHIFT
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MHT CET 2025 20TH APRIL EVENING SHIFT
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MHT CET 2025 20TH APRIL MORNING SHIFT
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MHT CET 2025 21ST APRIL EVENING SHIFT
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MHT CET 2025 21ST APRIL MORNING SHIFT
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MHT CET 2025 22ND APRIL EVENING SHIFT
1 Qs
MHT CET 2025 22ND APRIL MORNING SHIFT
1 Qs
MHT CET 2025 23RD APRIL EVENING SHIFT
1 Qs
MHT CET 2025 25TH APRIL EVENING SHIFT
1 Qs
MHT CET 2025 25TH APRIL MORNING SHIFT
1 Qs
MHT CET 2025 26TH APRIL EVENING SHIFT
1 Qs
MHT CET 2025 26TH APRIL MORNING SHIFT
1 Qs
MHT CET 2025 5TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 10TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 11TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 11TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 15TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 15TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 16TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 16TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 2ND MAY EVENING SHIFT
1 Qs
MHT CET 2024 2ND MAY MORNING SHIFT
1 Qs
MHT CET 2024 3RD MAY EVENING SHIFT
1 Qs
MHT CET 2024 3RD MAY MORNING SHIFT
1 Qs
MHT CET 2024 4TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 4TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 9TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 10TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 10TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 11TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 11TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 12TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 12TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 13TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 13TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 14TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 14TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 9TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 9TH MAY MORNING SHIFT
1 Qs
MHT CET 2022 11TH AUGUST EVENING SHIFT
1 Qs
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 23th September Morning Shift
1 Qs
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2019 3RD MAY MORNING SHIFT
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
MHT CET 2025 19TH APRIL EVENING SHIFT20251View paper
MHT CET 2025 19TH APRIL MORNING SHIFT20252View paper
MHT CET 2025 20TH APRIL EVENING SHIFT20251View paper
MHT CET 2025 20TH APRIL MORNING SHIFT20251View paper
MHT CET 2025 21ST APRIL EVENING SHIFT20251View paper
MHT CET 2025 21ST APRIL MORNING SHIFT20251View paper
MHT CET 2025 22ND APRIL EVENING SHIFT20251View paper
MHT CET 2025 22ND APRIL MORNING SHIFT20251View paper
MHT CET 2025 23RD APRIL EVENING SHIFT20251View paper
MHT CET 2025 25TH APRIL EVENING SHIFT20251View paper
MHT CET 2025 25TH APRIL MORNING SHIFT20251View paper
MHT CET 2025 26TH APRIL EVENING SHIFT20251View paper
MHT CET 2025 26TH APRIL MORNING SHIFT20251View paper
MHT CET 2025 5TH MAY EVENING SHIFT20251View paper
MHT CET 2024 10TH MAY MORNING SHIFT20241View paper
MHT CET 2024 11TH MAY EVENING SHIFT20241View paper
MHT CET 2024 11TH MAY MORNING SHIFT20241View paper
MHT CET 2024 15TH MAY EVENING SHIFT20241View paper
MHT CET 2024 15TH MAY MORNING SHIFT20241View paper
MHT CET 2024 16TH MAY EVENING SHIFT20241View paper
MHT CET 2024 16TH MAY MORNING SHIFT20241View paper
MHT CET 2024 2ND MAY EVENING SHIFT20241View paper
MHT CET 2024 2ND MAY MORNING SHIFT20241View paper
MHT CET 2024 3RD MAY EVENING SHIFT20241View paper
MHT CET 2024 3RD MAY MORNING SHIFT20241View paper
MHT CET 2024 4TH MAY EVENING SHIFT20241View paper
MHT CET 2024 4TH MAY MORNING SHIFT20241View paper
MHT CET 2024 9TH MAY MORNING SHIFT20241View paper
MHT CET 2023 10TH MAY EVENING SHIFT20231View paper
MHT CET 2023 10TH MAY MORNING SHIFT20231View paper
MHT CET 2023 11TH MAY EVENING SHIFT20231View paper
MHT CET 2023 11TH MAY MORNING SHIFT20231View paper
MHT CET 2023 12TH MAY EVENING SHIFT20231View paper
MHT CET 2023 12TH MAY MORNING SHIFT20231View paper
MHT CET 2023 13TH MAY EVENING SHIFT20231View paper
MHT CET 2023 13TH MAY MORNING SHIFT20231View paper
MHT CET 2023 14TH MAY EVENING SHIFT20231View paper
MHT CET 2023 14TH MAY MORNING SHIFT20231View paper
MHT CET 2023 9TH MAY EVENING SHIFT20231View paper
MHT CET 2023 9TH MAY MORNING SHIFT20231View paper
MHT CET 2022 11TH AUGUST EVENING SHIFT20221View paper
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 23th September Morning Shift20211View paper
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2019 3RD MAY MORNING SHIFT20191View paper

All Complex Numbers previous year questions

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

1
2019 · Mathematics · Algebra · Complex Numbers
MHT CET 2019 3RD MAY MORNING SHIFT

If $\omega$ is a complex cube root of unity and $A=\left[\begin{array}{ccc}\omega & 0 & 0 \\ 0 & \omega^2 & 0 \\ 0 & 0 & 1\end{array}\right]$ then $A^{-1}=\ldots$

A
$\left[\begin{array}{ccc}\omega^2 & 0 & 0 \\ 0 & \omega & 0 \\ 0 & 0 & 1\end{array}\right]$
B
$\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$
C
$\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & \omega^2 & 0 \\ 0 & 0 & \omega\end{array}\right]$
D
$\left[\begin{array}{ccc}0 & 0 & \omega \\ 0 & \omega^2 & 0 \\ 1 & 0 & 0\end{array}\right]$
Open complete paper
2
2021 · Mathematics · Algebra · Complex Numbers
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT

If \(\omega\) is complex cube root of unity and \((1+\omega)^7=A+B\omega\), then values of A and B are, respectively

A
0, 1
B
1, 1
C
1, 0
D
\(-\)1, 1
Open complete paper
3
2021 · Mathematics · Algebra · Complex Numbers
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT

The value of (1 + i)\(^5\) (1 \(-\) i)\(^7\) is

A
\(-\)64
B
\(-\)64 i
C
64 i
D
64
Open complete paper
4
2021 · Mathematics · Algebra · Complex Numbers
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT

If \(z(2-i)=(3+i)\), then \(z^{38}=\), ( where \(z=x+i y\))

A
\(-\left(2^{19}\right) \mathrm{i}\)
B
\(2^{19}\) i
C
\(-\left(2^{19}\right)\)
D
\(2^{19}\)
Open complete paper
5
2021 · Mathematics · Algebra · Complex Numbers
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT

The complex number with argument \(\frac{5 \pi^{\mathrm{c}}}{6}\) at a distance of 2 units from the origin is

A
\(\sqrt{3}-\mathrm{i}\)
B
\(\sqrt{3}+\mathrm{i}\)
C
\(-\sqrt{3}-\mathrm{i}\)
D
\(-\sqrt{3}+\mathrm{i}\)
Open complete paper
6
2021 · Mathematics · Algebra · Complex Numbers
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT

If \(\omega\) is the complex cube root of unity, then \(\left(3+5 \omega+3 \omega^2\right)^2+\left(3+3 \omega+5 \omega^2\right)^2=\)

A
\(-\)1
B
0
C
4
D
\(-\)4
Open complete paper
7
2021 · Mathematics · Algebra · Complex Numbers
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT

If \(x=1+2 i\), then the value of \(x^3+7 x^2-x+16\) is

A
\(\mathrm{-17-24 ~i}\)
B
\(\mathrm{-17+24 ~i}\)
C
\(17-24 ~\mathrm{i}\)
D
\(17+24 ~\mathrm{i}\)
Open complete paper
8
2021 · Mathematics · Algebra · Complex Numbers
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT

If amplitude of \((z-2-3 i)\) is \(\frac{3 \pi}{4}\), then locus of \(z\) is (where \(z=x+i y\))

A
\(x+y=1\)
B
\(x+y=5\)
C
\(x-y=-5\)
D
\(x-y=1\)
Open complete paper
9
2021 · Mathematics · Algebra · Complex Numbers
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT

If \(\mathrm{\frac{3+2i}{1+i}=\frac{1}{2}(x+iy)}\), then x \(-\) y =

A
4
B
3
C
6
D
5
Open complete paper
10
2021 · Mathematics · Algebra · Complex Numbers
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT

The sqaure roots of the complex number \((-5-12 \mathrm{i})\) are

A
\(\pm(2-3 i)\)
B
\(\pm(3+2 \mathrm{i})\)
C
\(\pm(2+3 i)\)
D
\(\pm(3-2 \mathrm{i})\)
Open complete paper
11
2022 · Mathematics · Algebra · Complex Numbers
MHT CET 2022 11TH AUGUST EVENING SHIFT

Let \(z\) be a complex number such that \(|z|+z=3+i, i=\sqrt{-1}\), then \(|z|\) is equal to

A
\(\frac{5}{4}\)
B
\(\frac{5}{3}\)
C
\(\frac{\sqrt{34}}{3}\)
D
\(\frac{\sqrt{41}}{4}\)
Open complete paper
12
2023 · Mathematics · Algebra · Complex Numbers
MHT CET 2023 10TH MAY EVENING SHIFT

The argument of \(\frac{1+i \sqrt{3}}{\sqrt{3}+i}, i=\sqrt{-1}\) is

A
\(\frac{\pi}{3}\)
B
\(\frac{\pi}{4}\)
C
\(\frac{\pi}{6}\)
D
\(\frac{\pi}{2}\)
Open complete paper
13
2023 · Mathematics · Algebra · Complex Numbers
MHT CET 2023 10TH MAY MORNING SHIFT

If \(w=\frac{z}{z-\frac{1}{3} i}\) and \(|w|=1, i=\sqrt{-1}\), then \(z\) lies on

A
circle.
B
line.
C
parabola.
D
ellipse.
Open complete paper
14
2023 · Mathematics · Algebra · Complex Numbers
MHT CET 2023 11TH MAY EVENING SHIFT

If \(x=\frac{5}{1-2 \mathrm{i}}, \mathrm{i}=\sqrt{-1}\), then the value of \(x^3+x^2-x+22\) is

A
7
B
9
C
17
D
39
Open complete paper
15
2023 · Mathematics · Algebra · Complex Numbers
MHT CET 2023 11TH MAY MORNING SHIFT

If \(\mathrm{z}=x+\mathrm{i} y\) and \(\mathrm{z}^{1 / 3}=\mathrm{p}+\mathrm{iq}\), where \(x, y, \mathrm{p}, \mathrm{q} \in \mathrm{R}\) and \(\mathrm{i}=\sqrt{-1}\), then value of \(\left(\frac{x}{\mathrm{p}}+\frac{y}{\mathrm{q}}\right)\) is

A
\(\mathrm{p}^2-\mathrm{q}^2\)
B
\(4\left(\mathrm{p}^2-\mathrm{q}^2\right)\)
C
\(\mathrm{p}^2+\mathrm{q}^2\)
D
\(4\left(\mathrm{p}^2+\mathrm{q}^2\right)\)
Open complete paper
16
2023 · Mathematics · Algebra · Complex Numbers
MHT CET 2023 12TH MAY EVENING SHIFT

If \(|z-2+i| \leq 2\), then the difference between the greatest and least value of \(|z|\) is ________, \((\mathrm{i}=\sqrt{-1})\)

A
\(2 \sqrt{5}+4\)
B
\(2 \sqrt{5}\)
C
4
D
8
Open complete paper
17
2023 · Mathematics · Algebra · Complex Numbers
MHT CET 2023 12TH MAY MORNING SHIFT

If \(a > 0\) and \(z=\frac{(1+i)^2}{a+i},(i=\sqrt{-1})\) has magnitude \(\frac{2}{\sqrt{5}}\), then \(\bar{z}\) is equal to

A
\(-\frac{2}{5}+\frac{4}{5} \mathrm{i}\)
B
\(\frac{2}{5}-\frac{4}{5} \mathrm{i}\)
C
\(-\frac{2}{5}-\frac{4}{5} \mathrm{i}\)
D
\(\frac{2}{5}+\frac{4}{5} \mathrm{i}\)
Open complete paper
18
2023 · Mathematics · Algebra · Complex Numbers
MHT CET 2023 13TH MAY EVENING SHIFT

If \((3 x+2)-(5 y-3) i\) and \((6 x+3)+(2 y-4) i\) are conjugates of each other, then the value of \(\frac{x-y}{x+y}\) is (where \(\left.i=\sqrt{-1}, x, y \in R\right)\)

A
\(-\)1
B
0
C
1
D
2
Open complete paper
19
2023 · Mathematics · Algebra · Complex Numbers
MHT CET 2023 13TH MAY MORNING SHIFT

The value of \(\frac{\mathrm{i}^{248}+\mathrm{i}^{246}+\mathrm{i}^{244}+\mathrm{i}^{242}+\mathrm{i}^{240}}{\mathrm{i}^{249}+\mathrm{i}^{247}+\mathrm{i}^{245}+\mathrm{i}^{243}+\mathrm{i}^{241}}, (\mathrm{i}=\sqrt{-1})\) is

A
i
B
1
C
\(-1\)
D
\(-\)i
Open complete paper
20
2023 · Mathematics · Algebra · Complex Numbers
MHT CET 2023 14TH MAY EVENING SHIFT

Let \(z \in C\) with \(\operatorname{Im}(z)=10\) and it satisfies \(\frac{2 z-n}{2 z+n}=2 i-1, i=\sqrt{-1}\) for some natural number \(\mathrm{n}\), then

A
\(\mathrm{n}=20\) and \(\operatorname{Re}(\mathrm{z})=-10\)
B
\(\mathrm{n}=40\) and \(\operatorname{Re}(\mathrm{z})=-10\)
C
\(\mathrm{n}=40\) and \(\operatorname{Re}(\mathrm{z})=10\)
D
\(\mathrm{n}=20\) and \(\operatorname{Re}(\mathrm{z})=10\)
Open complete paper

Showing 20 of 53 questions