Mathematics · JEE

Hard Algebra of complex numbers MCQs for JEE

6+ syllabus-aligned questions available

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Hard Algebra of complex numbers MCQs train multi-concept problem solving — attempt after mastering easy and medium sets (6+ on Goodmarks).

Push your limits with hard Algebra of complex numbers MCQs designed for JEE Advanced-level thinking. 6+ questions with detailed solutions.

Syllabus context

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

Attempt 6 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

\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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