Q1MathsUnit 2: Complex Numbers and Quadratic Equations
If then
Mathematics · JEE
Algebra of complex numbers Revision for JEE
5+ syllabus-aligned questions available
Quick answer
Revise Algebra of complex numbers by covering every subtopic once, drilling formulas, then solving 5+ timed MCQs with full solutions.
Use this Algebra of complex numbers revision checklist before mocks and the final exam. Reinforce concepts with 5+ syllabus-aligned MCQs on Goodmarks.
Revision checklist
- 1.Core idea: Algebra of complex numbers
- 2.Relates to other subtopics in Complex Numbers and Quadratic Equations
- 3.Argand diagram, modulus, argument
- 4.Roots of quadratics, relation with coefficients
- 5.Master Algebra of complex numbers definitions and standard results
- 6.Solve 20 timed MCQs for Algebra of complex numbers
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
How should I revise Algebra of complex numbers before JEE?
Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.
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