Mathematics · JEE

Important Questions: Algebra of complex numbers for JEE

6+ syllabus-aligned questions available

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The most important Algebra of complex numbers questions for JEE cover conceptual traps, standard results, and numerical patterns from Algebra of complex numbers. Goodmarks provides 6+ high-yield MCQs with full solutions.

Focus on what matters most. These important Algebra of complex numbers questions cover high-weightage concepts from Algebra of complex numbers — the topics JEE repeats every year.

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

What makes a Algebra of complex numbers question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Complex Numbers and Quadratic Equations are high-weightage?

Key areas include Algebra of complex numbers. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

Can I practise only important questions on Goodmarks?

Pro users can filter by unit and subtopic to target high-yield areas. Free users can attempt sample questions on this page.