MHT CET PYQs for Algebra of Complex Numbers with Solutions: Practice MHT CET Previous Year Questions

Algebra Of Complex Numbers is a topic from the Complex Numbers chapter of Class 11 Mathematics, and it is part of the Mathematics section of the MHT CET for candidates who are preparing for the PCM (Physics, Chemistry, and Mathematics).

The key topics covered in Algebra Of Complex Numbers PYQs are:

Real and imaginary parts of a complex number
Powers of i
Simplifying a quotient of complex numbers
Value of an expression in a complex number

Practising Algebra Of Complex Numbers MHT CET PYQ helps candidates to understand question pattern, improve calculation speed, and identify concepts which were asked in previous exams.

Based on chapter-wise analysis of the MHT CET Mathematics paper, you can get less than 1 mark per paper by covering Algebra Of Complex Numbers. The chapter recorded 4 questions across the 80 shifts in the data, and 1 of them came in the 2025 and 2026 papers, which is fewer than 1 of the 50 Mathematics questions in a typical shift.

MHT CET Algebra Of Complex Numbers Topic: Question Count, Marks and Weightage:

What it shows	Number
Questions in the PDF (2021-2025)	4
Questions in the 2025 and 2026 papers (33 shifts)	1
Questions in the 2018 to 2026 papers (80 shifts)	4
Typical number of Mathematics questions from this topic in one shift	Fewer than 1 out of 50
Marks for each question	2

The PDF holds 4 questions from MHT CET 2025 to 2021, newest first, each with its exam date and shift. Options are as printed and answer keys are not included.

Algebra Of Complex Numbers PYQ Statistics (2022-2026)

The table below shows the number of questions asked in MHT CET Algebra Of Complex Numbers PYQs. Every shift has 50 Mathematics questions, and the last column is the number of questions asked divided by the shifts held, rounded to a whole number.

Year	Questions Asked	Shifts Held	Typical Questions in One Shift
2026	0	16	Fewer than 1 out of 50
2025	1	17	Fewer than 1 out of 50
2024	0	18	Fewer than 1 out of 50
2023	2	12	Fewer than 1 out of 50
2022	0	1	Fewer than 1 out of 50

The 2018 to 2021 papers in the PDF add 1 more questions: 2021 had 1, 2020 had none, 2019 had none, 2018 had none.

Pair PYQs with Other Study Material for MHT CET 2027

Click on the link to practise problems and time management skills:

Resource	Link
MHT CET Sample Paper	Check Here
MHT CET Mock Test	Check Here

Question Style in MHT CET Algebra Of Complex Numbers PYQs

Every question in this PDF is a single-correct MCQ. Each one gives a complex number and asks for a value.

Question Style	What it Tests
Real and imaginary parts	The value of n or the real part of z when the imaginary part of a complex number is given
Value of an expression	The value of a polynomial expression in x for a given complex number x
Quotient of complex numbers	The value of an expression in a and b when Z₁ / Z₂ = a + bi, for Z₁ = 2 + i and Z₂ = 3 − 4i

How to Use the Algebra Of Complex Numbers PYQ PDF for MHT CET

Start with the 2025 and 2026 papers first, because they hold 1 of the 4 questions.
Multiply the numerator and denominator by the conjugate of the denominator to write a quotient in the form a + bi.
Use i² = −1 to reduce every power of i before comparing the real and imaginary parts.
Solve year-wise PYQs by timing yourself, as time management is crucial.
Re-attempt only the questions you got wrong, and note which formula or step you missed.

Video: Algebra Of Complex Numbers PYQs and MCQs

Source: Digital Master

Algebra Of Complex Numbers PYQ for MHT CET Mathematics FAQs

Ques. How many questions come from Algebra Of Complex Numbers every year?

Ans. In this PDF, the questions are 1 from 2025, 2 from 2023 and 1 from 2021. In 2025 and 2026 together the topic had 1 question across 33 shifts, which is fewer than 1 in a typical shift.

Ques. What kind of questions are asked from Algebra Of Complex Numbers?

Ans. Single-correct MCQs. Each one gives a complex number and asks for the value of an expression or for the real and imaginary parts.

Ques. What is the best way to practise Algebra Of Complex Numbers PYQs?

Ans. First solve the 2025 and 2026 questions completely, then the older ones, and finally re-attempt the questions you got wrong.

Ques. Can I score full marks from Algebra Of Complex Numbers?

Ans. In 2025 and 2026 together the topic had 1 question across 33 shifts. Learning how to simplify a quotient and the powers of i is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

Ques. Does the Algebra Of Complex Numbers PYQ PDF include solutions?

Ans. No. The PDF contains the questions with their exam date and shift, without answer keys or solutions.

MHT CET PYQs for Algebra of Complex Numbers with Solutions: Practice MHT CET Previous Year Questions

Algebra Of Complex Numbers PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Algebra Of Complex Numbers PYQs

How to Use the Algebra Of Complex Numbers PYQ PDF for MHT CET

Video: Algebra Of Complex Numbers PYQs and MCQs

Algebra Of Complex Numbers PYQ for MHT CET Mathematics FAQs

1.
If \(w\) is a complex cube root of unity , then the value of \(w^{10}-w^7+w^5-w^2+1\) is.

2.
Let $z$ be a complex number such that $|z|+z=3+i$ where $i=\sqrt{-1}$, then $|z|=$

3.
The value of \((\frac{-1+i\sqrt{3}}{2})^{18}+(\frac{-1-i\sqrt{3}}{2})^{18}\) is

4.
The modulus of the square root of the complex number $6 + 8i$ (where $i = \sqrt{-1}$) is ______.

5.
Find the roots of the quadratic equation \( 2x^2 - 4x - 6 = 0 \).

6.
If the roots of the quadratic equation \( x^2 - 5x + 6 = 0 \) are \( p \) and \( q \), then what is the value of \( p + q \)?

7.
If \(i = \sqrt{-1}\) then \([i^{18}+(\frac{1}{i})^{25}]^3 =\)

8.
The variance of the first 50 even natural numbers is:

9.
The statement \( (p \wedge (\sim q)) \vee ((\sim p) \wedge q) \vee ((\sim p) \wedge (\sim q)) \) is equivalent to:

10.
If \((1+i)\cdot (1+2i)\ldots \ldots \ldots (1+ni) = x+iy\) (Where \(i = \sqrt{-1}\) ), then the value of \((2)\cdot (5)\cdot (10)\ldots \ldots \ldots (1+n^2)\)

11.
For a certain function $ u_x $ , given that $ u_0 = 3, u_1 = 12, u_2 = 81, u_3 = 200, u_4 = 100, u_5 = 8 $ , then $ \Delta ^{5}u_{x} $ is equal to

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Algebra Of Complex Numbers PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Algebra Of Complex Numbers PYQs

How to Use the Algebra Of Complex Numbers PYQ PDF for MHT CET

Video: Algebra Of Complex Numbers PYQs and MCQs

Algebra Of Complex Numbers PYQ for MHT CET Mathematics FAQs

1.If \(w\) is a complex cube root of unity , then the value of \(w^{10}-w^7+w^5-w^2+1\) is.

2.Let $z$ be a complex number such that $|z|+z=3+i$ where $i=\sqrt{-1}$, then $|z|=$

3.The value of \((\frac{-1+i\sqrt{3}}{2})^{18}+(\frac{-1-i\sqrt{3}}{2})^{18}\) is

4.The modulus of the square root of the complex number $6 + 8i$ (where $i = \sqrt{-1}$) is ______.

5.Find the roots of the quadratic equation \( 2x^2 - 4x - 6 = 0 \).

6.If the roots of the quadratic equation \( x^2 - 5x + 6 = 0 \) are \( p \) and \( q \), then what is the value of \( p + q \)?

7.If \(i = \sqrt{-1}\) then \([i^{18}+(\frac{1}{i})^{25}]^3 =\)

8.The variance of the first 50 even natural numbers is:

9.The statement \( (p \wedge (\sim q)) \vee ((\sim p) \wedge q) \vee ((\sim p) \wedge (\sim q)) \) is equivalent to:

10.If \((1+i)\cdot (1+2i)\ldots \ldots \ldots (1+ni) = x+iy\) (Where \(i = \sqrt{-1}\) ), then the value of \((2)\cdot (5)\cdot (10)\ldots \ldots \ldots (1+n^2)\)

11.For a certain function $ u_x $ , given that $ u_0 = 3, u_1 = 12, u_2 = 81, u_3 = 200, u_4 = 100, u_5 = 8 $ , then $ \Delta ^{5}u_{x} $ is equal to

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1.
If \(w\) is a complex cube root of unity , then the value of \(w^{10}-w^7+w^5-w^2+1\) is.

2.
Let $z$ be a complex number such that $|z|+z=3+i$ where $i=\sqrt{-1}$, then $|z|=$

3.
The value of \((\frac{-1+i\sqrt{3}}{2})^{18}+(\frac{-1-i\sqrt{3}}{2})^{18}\) is

4.
The modulus of the square root of the complex number $6 + 8i$ (where $i = \sqrt{-1}$) is ______.

5.
Find the roots of the quadratic equation \( 2x^2 - 4x - 6 = 0 \).

6.
If the roots of the quadratic equation \( x^2 - 5x + 6 = 0 \) are \( p \) and \( q \), then what is the value of \( p + q \)?

7.
If \(i = \sqrt{-1}\) then \([i^{18}+(\frac{1}{i})^{25}]^3 =\)

8.
The variance of the first 50 even natural numbers is:

9.
The statement \( (p \wedge (\sim q)) \vee ((\sim p) \wedge q) \vee ((\sim p) \wedge (\sim q)) \) is equivalent to:

10.
If \((1+i)\cdot (1+2i)\ldots \ldots \ldots (1+ni) = x+iy\) (Where \(i = \sqrt{-1}\) ), then the value of \((2)\cdot (5)\cdot (10)\ldots \ldots \ldots (1+n^2)\)

11.
For a certain function $ u_x $ , given that $ u_0 = 3, u_1 = 12, u_2 = 81, u_3 = 200, u_4 = 100, u_5 = 8 $ , then $ \Delta ^{5}u_{x} $ is equal to