MHT CET PYQs for Complex numbers with Solutions: Practice MHT CET Previous Year Questions

Complex Numbers is a Class 11 chapter in the Mathematics section of the MHT CET for candidates who are preparing for the PCM (Physics, Chemistry, and Mathematics).

The key topics covered in Complex Numbers PYQs are:

Cube roots of unity
Modulus and argument of a complex number
De Moivre's theorem
Locus of a complex number
Square root of a complex number

Practising 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 about 2 marks per paper by covering Complex Numbers. The chapter recorded 72 questions across the 80 shifts in the data, and 32 of them came in the 2025 and 2026 papers, which is about 1 of the 50 Mathematics questions in a typical shift.

MHT CET Complex Numbers Chapter: Question Count, Marks and Weightage:

What it shows	Number
Questions in the PDF (2019-2026)	72
Questions in the 2025 and 2026 papers (33 shifts)	32
Questions in the 2018 to 2026 papers (80 shifts)	72
Typical number of Mathematics questions from this topic in one shift	About 1 out of 50
Marks for each question	2

The PDF holds 72 questions from MHT CET 2026 to 2019, newest first, each with its exam date and shift. Options are as printed and answer keys are not included.

Complex Numbers PYQ Statistics (2022-2026)

The table below shows the number of questions asked in MHT CET 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	16	16	About 1 out of 50
2025	16	17	About 1 out of 50
2024	16	18	About 1 out of 50
2023	12	12	About 1 out of 50
2022	1	1	About 1 out of 50

The 2018 to 2021 papers in the PDF add 11 more questions: 2021 had 10, 2020 had none, 2019 had 1, 2018 had none.

MHT CET Complex Numbers Important Questions: Topic-Wise Breakdown

The major types of questions asked from Complex Numbers in MHT CET cover the following topics:

Topic	Questions in the PDF	Share of the PDF
Cube Roots Of Unity	13	18%
Locus of complex number	5	7%
Argument Of Complex Numbers	4	6%
Modulus Of Complex Numbers	4	6%
Algebra Of Complex Numbers	4	6%
De Moivre's theorem	4	6%
Square Root Of A Complex Number	3	4%
Argument of complex number	2	3%
Other topics tagged in the PDF	33	46%

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 Complex Numbers PYQs

Every question in this PDF is a single-correct MCQ. Most are short calculations where a complex number or an equation in z is given and a value, a locus or a magnitude is asked.

Question Style	What it Tests
Cube roots of unity	Expressions in ω and ω², and determinants that contain the cube roots of unity
Modulus and argument	The magnitude of a complex number found from a given condition, and the argument of a given complex number
Locus	What a given equation in z represents, such as the equation \|z + 1\| = 1, and the centre and radius when the locus is a circle
De Moivre's theorem	The value of a power such as (cos 4θ + i sin 4θ)⁻² and products of terms of the form cos x + i sin x
Roots of equations	The value of an expression in the distinct roots of a quadratic equation in a complex number

How to Use the Complex Numbers PYQ PDF for MHT CET

Start with the 2025 and 2026 papers first, because they hold 32 of the 72 questions.
Learn the properties of ω: ω³ = 1 and 1 + ω + ω² = 0, because they simplify most of the cube-root questions.
For locus questions, put z = x + iy and simplify the modulus condition into an equation in x and y.
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: Complex Numbers PYQs and MCQs

Source: MathsVarg

Complex Numbers PYQ for MHT CET Mathematics FAQs

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

Ans. In this PDF, the questions are 16 from 2026, 16 from 2025, 16 from 2024, 12 from 2023 and 1 from 2022 and the rest from earlier papers. In 2025 and 2026 together the chapter had 32 questions across 33 shifts, which is about 1 in a typical shift.

Ques. Which topics are asked most frequently in MHT CET Complex Numbers?

Ans. Cube Roots Of Unity is the largest topic tag in the PDF with 13 of the 72 questions, about 18%.

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

Ans. Single-correct MCQs, mostly short calculations. Common ones ask for the modulus or argument of a complex number, the value of an expression in ω, or the locus of a point.

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

Ans. In 2025 and 2026 together the chapter had 32 questions across 33 shifts. Learning the cube roots of unity, the modulus and argument rules and De Moivre's theorem is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

Ques. Does the 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 Complex numbers with Solutions: Practice MHT CET Previous Year Questions

Complex Numbers PYQ Statistics (2022-2026)

MHT CET Complex Numbers Important Questions: Topic-Wise Breakdown

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Complex Numbers PYQs

How to Use the Complex Numbers PYQ PDF for MHT CET

Video: Complex Numbers PYQs and MCQs

Complex Numbers PYQ for MHT CET Mathematics FAQs

1.
If $y = \log_e x^3 + 3 \sin^{-1} x + kx^2$ and $y'\left(\frac{1}{2}\right) = 2\sqrt{3}$, then $k =$}

2.
The projection of the line segment joining the points \( (2, 1, -3) \) and \( (-1, 0, 2) \) on the line whose direction ratios are \( 3, 2, 6 \) is

3.
The polar form of the complex number \(z = \frac{1}{1+i}\), (where \(i = \sqrt{-1}\)) is

4.
The general solution of $x(x - 1)\frac{dy}{dx} = x^3(2x - 1) + (x - 2)y$ is

5.
If \(z = \sum _{n = 0}^{2026}i^n\), where \(i = \sqrt{-1}\), then one of the values of \(\sqrt{z}\) is...

6.
If \(x = \sqrt{-1-\sqrt{-1-\sqrt{-1-\ldots \infty }}}\), where \(ω\) is a non-real complex cube root of unity, then the value of \(x\) is...

7.
If two sides of a triangle are \( \sqrt{3} - 1 \) and \( \sqrt{3} + 1 \) units and their included angle is \( 60^\circ \), then the third side of the triangle is

8.
If \(-1+\sqrt{-3} = re^{iθ}\), then the value of \(θ\) is

9.
If two sides of a triangle are \( \sqrt{3} - 1 \) and \( \sqrt{3} + 1 \) units and their included angle is \( 60^\circ \), then the third side of the triangle is

10.
If \(α\) and \(β\) are the roots of the equation \(x^2+x+1 = 0\) then \(α^{2026}+β^{2026} =\)

11.
If \(n\) is a positive integer, then \((1+i\sqrt{3})^{2n}+(1-i\sqrt{3})^{2n}\) is equal to .........

12.
If \(ω\) is a complex cube root of unity, then the value of the expression \(2(1+\frac{1}{ω})(1+\frac{1}{ω^2})+3(2+\frac{1}{ω})(2+\frac{1}{ω^2})+\ldots +(n+1)(n+\frac{1}{ω})(n+\frac{1}{ω^2})\) is...

13.
The projection of the line segment joining the points \( (2, 1, -3) \) and \( (-1, 0, 2) \) on the line whose direction ratios are \( 3, 2, 6 \) is

14.
\(\frac{(cos2θ+isin2θ)^7}{(cos4θ+isin4θ)^3} =\)

15.
The equation $|z + 1 - i| = |z - 1 + i|$ represents a (where z is a complex number)

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Complex Numbers PYQ Statistics (2022-2026)

MHT CET Complex Numbers Important Questions: Topic-Wise Breakdown

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Complex Numbers PYQs

How to Use the Complex Numbers PYQ PDF for MHT CET

Video: Complex Numbers PYQs and MCQs

Complex Numbers PYQ for MHT CET Mathematics FAQs

1.If $y = \log_e x^3 + 3 \sin^{-1} x + kx^2$ and $y'\left(\frac{1}{2}\right) = 2\sqrt{3}$, then $k =$}

2.The projection of the line segment joining the points \( (2, 1, -3) \) and \( (-1, 0, 2) \) on the line whose direction ratios are \( 3, 2, 6 \) is

3.The polar form of the complex number \(z = \frac{1}{1+i}\), (where \(i = \sqrt{-1}\)) is

4.The general solution of $x(x - 1)\frac{dy}{dx} = x^3(2x - 1) + (x - 2)y$ is

5.If \(z = \sum _{n = 0}^{2026}i^n\), where \(i = \sqrt{-1}\), then one of the values of \(\sqrt{z}\) is...

6.If \(x = \sqrt{-1-\sqrt{-1-\sqrt{-1-\ldots \infty }}}\), where \(ω\) is a non-real complex cube root of unity, then the value of \(x\) is...

7.If two sides of a triangle are \( \sqrt{3} - 1 \) and \( \sqrt{3} + 1 \) units and their included angle is \( 60^\circ \), then the third side of the triangle is

8.If \(-1+\sqrt{-3} = re^{iθ}\), then the value of \(θ\) is

9.If two sides of a triangle are \( \sqrt{3} - 1 \) and \( \sqrt{3} + 1 \) units and their included angle is \( 60^\circ \), then the third side of the triangle is

10.If \(α\) and \(β\) are the roots of the equation \(x^2+x+1 = 0\) then \(α^{2026}+β^{2026} =\)

11.If \(n\) is a positive integer, then \((1+i\sqrt{3})^{2n}+(1-i\sqrt{3})^{2n}\) is equal to .........

12.If \(ω\) is a complex cube root of unity, then the value of the expression \(2(1+\frac{1}{ω})(1+\frac{1}{ω^2})+3(2+\frac{1}{ω})(2+\frac{1}{ω^2})+\ldots +(n+1)(n+\frac{1}{ω})(n+\frac{1}{ω^2})\) is...

13.The projection of the line segment joining the points \( (2, 1, -3) \) and \( (-1, 0, 2) \) on the line whose direction ratios are \( 3, 2, 6 \) is

14.\(\frac{(cos2θ+isin2θ)^7}{(cos4θ+isin4θ)^3} =\)

15.The equation $|z + 1 - i| = |z - 1 + i|$ represents a (where z is a complex number)

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
If $y = \log_e x^3 + 3 \sin^{-1} x + kx^2$ and $y'\left(\frac{1}{2}\right) = 2\sqrt{3}$, then $k =$}

2.
The projection of the line segment joining the points \( (2, 1, -3) \) and \( (-1, 0, 2) \) on the line whose direction ratios are \( 3, 2, 6 \) is

3.
The polar form of the complex number \(z = \frac{1}{1+i}\), (where \(i = \sqrt{-1}\)) is

4.
The general solution of $x(x - 1)\frac{dy}{dx} = x^3(2x - 1) + (x - 2)y$ is

5.
If \(z = \sum _{n = 0}^{2026}i^n\), where \(i = \sqrt{-1}\), then one of the values of \(\sqrt{z}\) is...

6.
If \(x = \sqrt{-1-\sqrt{-1-\sqrt{-1-\ldots \infty }}}\), where \(ω\) is a non-real complex cube root of unity, then the value of \(x\) is...

7.
If two sides of a triangle are \( \sqrt{3} - 1 \) and \( \sqrt{3} + 1 \) units and their included angle is \( 60^\circ \), then the third side of the triangle is

8.
If \(-1+\sqrt{-3} = re^{iθ}\), then the value of \(θ\) is

9.
If two sides of a triangle are \( \sqrt{3} - 1 \) and \( \sqrt{3} + 1 \) units and their included angle is \( 60^\circ \), then the third side of the triangle is

10.
If \(α\) and \(β\) are the roots of the equation \(x^2+x+1 = 0\) then \(α^{2026}+β^{2026} =\)

11.
If \(n\) is a positive integer, then \((1+i\sqrt{3})^{2n}+(1-i\sqrt{3})^{2n}\) is equal to .........

12.
If \(ω\) is a complex cube root of unity, then the value of the expression \(2(1+\frac{1}{ω})(1+\frac{1}{ω^2})+3(2+\frac{1}{ω})(2+\frac{1}{ω^2})+\ldots +(n+1)(n+\frac{1}{ω})(n+\frac{1}{ω^2})\) is...

13.
The projection of the line segment joining the points \( (2, 1, -3) \) and \( (-1, 0, 2) \) on the line whose direction ratios are \( 3, 2, 6 \) is

14.
\(\frac{(cos2θ+isin2θ)^7}{(cos4θ+isin4θ)^3} =\)

15.
The equation $|z + 1 - i| = |z - 1 + i|$ represents a (where z is a complex number)