Mathematics · JEE

Algebra of complex numbers Previous Year Questions for JEE

6+ syllabus-aligned questions available

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Goodmarks offers 6+ JEE-style PYQs for Algebra of complex numbers with detailed solutions. While official past papers rotate yearly, our bank covers the same concepts, difficulty, and question formats tested in JEE Mathematics.

Previous year questions are the fastest way to understand how Algebra of complex numbers is tested in JEE. Practise 6+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

Syllabus context

Part of Complex Numbers and Quadratic Equations in JEE Main Mathematics.

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Q1MathsUnit 2: Complex Numbers and Quadratic Equations

(1-i) x+(1+i) y=1-3 i,

then

(x, y)=

Q2MathsUnit 2: Complex Numbers and Quadratic Equations

Let

z \neq-i

be any complex number such that

\frac{z-i}{z+i}

is a purely imaginary number. Then

z+\frac{1}{z}

is :

Q3MathsUnit 2: Complex Numbers and Quadratic Equations

\sqrt{-35+12 i}-\sqrt{-35-12 i}=p

The value of

p

can be? This question has multiple correct options

Q4MathsUnit 2: Complex Numbers and Quadratic Equations

What is the value of

(1+i)^{5}+(1-i)^{5}

where

i=\sqrt{-1} ?

Q5MathsUnit 2: Complex Numbers and Quadratic Equations

\omega \neq 1

is a cube root of unity and

(\omega+x)^{n}=1+12 \omega+69 \omega+\ldots .

then values of

4 n

and

\omega

respectively are

Q6MathsUnit 2: Complex Numbers and Quadratic Equations

The sequence

\boldsymbol{S}=\boldsymbol{i}+\boldsymbol{2} \boldsymbol{i}^{2}+\boldsymbol{3} \boldsymbol{i}^{3}+\ldots \ldots

upto 100 times simplifies to where

i=

\sqrt{-1}

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Frequently asked questions

Why practise PYQs for Algebra of complex numbers?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

Does Goodmarks have actual JEE past papers?

Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Algebra of complex numbers, covering the same topics as previous year papers.

How should I use PYQs for Complex Numbers and Quadratic Equations?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

Are PYQ solutions step-by-step?

Yes. Every question includes the correct answer and a detailed explanation showing the reasoning.