Q1MathsUnit 2: Complex Numbers and Quadratic Equations
If then
Mathematics · JEE
Algebra of complex numbers Concepts for JEE
5+ syllabus-aligned questions available
Quick answer
Master Algebra of complex numbers by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.
Build clear conceptual foundations for Algebra of complex numbers before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.
Concept explainer
Algebra of complex numbers is a core JEE Main Mathematics subtopic under Complex Numbers and Quadratic Equations. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.
Key points
- Understand the definition and scope of Algebra of complex numbers in the JEE syllabus
- Memorise key formulas and standard results linked to Algebra of complex numbers
- Practise 20–40 syllabus-aligned MCQs with step-by-step solutions
JEE tips
- Revise Algebra of complex numbers with a one-page formula sheet before attempting mixed tests
- After each practice set, log mistakes specific to Algebra of complex numbers and reattempt after 48 hours
Common trap
Students often rush Algebra of complex numbers questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.
Syllabus context
Part of Complex Numbers and Quadratic Equations in JEE Main Mathematics.
- Complex numbers as ordered pairs of reals
- Representation of complex numbers in the form a+ib and their representation in a plane
- Argand diagram
- Algebra of complex numbers
- Modulus and argument (or amplitude) of a complex number
- Quadratic equations in real and complex number systems and their solutions
- Relations between roots and coefficients, nature of roots
- The formation of quadratic equations with given roots
Free sample questions
Attempt 5 free MCQs for Algebra of complex numbers. Unlock the full bank with Pro.
Q2MathsUnit 2: Complex Numbers and Quadratic Equations
Let be any complex number such that is a purely imaginary
number. Then is :
Q3MathsUnit 2: Complex Numbers and Quadratic Equations
What is the value of
where
Q4MathsUnit 2: Complex Numbers and Quadratic Equations
If is a cube root of unity and
then
values of and respectively are
Q5MathsUnit 2: Complex Numbers and Quadratic Equations
The sequence
upto 100 times simplifies to where
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Popular questions in Algebra of complex numbers
- The sequence \( \boldsymbol{S}=\boldsymbol{i}+\boldsymbol{2} \boldsymbol{i}^{2}+\boldsymbol{3} \boldsymbol{i}^{3}+\ldots…
- What is the value of \( (1+i)^{5}+(1-i)^{5} \) where \( i=\sqrt{-1} ? \)…
- The sequence \( \boldsymbol{S}=\boldsymbol{i}+\boldsymbol{2} \boldsymbol{i}^{2}+\boldsymbol{3} \boldsymbol{i}^{3}+\ldots…
- If \( (1-i) x+(1+i) y=1-3 i, \) then \( (x, y)= \)…
- Let \( z \neq-i \) be any complex number such that \( \frac{z-i}{z+i} \) is a purely imaginary number. Then \( z+\frac{1…
- If \( \omega \neq 1 \) is a cube root of unity and \( (\omega+x)^{n}=1+12 \omega+69 \omega+\ldots . \) then values of \(…
Frequently asked questions
What concepts in Algebra of complex numbers are essential for JEE?
Focus on core ideas across Algebra of complex numbers. JEE tests application, not just memorisation.
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