Mathematics · JEE

Easy Algebra of complex numbers MCQs for JEE

5+ syllabus-aligned questions available

Quick answer

Start JEE Algebra of complex numbers preparation with easy MCQs, then progress to exam-level difficulty on Goodmarks (5+ available).

Build confidence with easy Algebra of complex numbers MCQs before timed sets. Goodmarks offers 5+ syllabus-aligned questions with full solutions.

Syllabus context

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

Attempt 5 free MCQs for Algebra of complex numbers. Unlock the full bank with Pro.

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

What is the value of

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

where

i=\sqrt{-1} ?

Q4MathsUnit 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

Q5MathsUnit 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}

Want unlimited Algebra of complex numbers practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Solve untimed first, review every explanation, then retry wrong questions after 48 hours.