Mathematics · JEE

Algebra of complex numbers Short Tricks for JEE

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Short tricks for Algebra of complex numbers work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

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Short tricks for speed

Algebra of complex numbers focus drill
Solve 15 mixed MCQs for Algebra of complex numbers, review every explanation, and note formulas you hesitated on.
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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}

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No — tricks complement concepts. Master the theory first, then use shortcuts in timed MCQ practice.