Mathematics · JEE

Algebra of complex numbers MCQs for JEE

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Algebra of complex numbers JEE MCQs on Goodmarks include 6+ multiple-choice questions with correct answers and step-by-step solutions. Attempt free samples below or unlock the full bank with Pro.

Master Algebra of complex numbers through exam-style multiple-choice questions. This page features 6+ JEE MCQs covering Algebra of complex numbers, each with verified answers and clear explanations.

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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