If $f\left(z\right)=\frac{7-z}{1-z^2}$, where $z=1+2i$, then $\left|f\left(z\right)\right|=$

Important Questions on Complex Numbers and Quadratic Equations

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IMPORTANT

Achieve Indian Airforce Agniveer Vayu Mathematics Practice Book>Chapter 4 - Complex Numbers and Quadratic Equations>Exercise>Q 10

If $z$ is a complex number, then

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Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Mathematics Practice Book>Chapter 4 - Complex Numbers and Quadratic Equations>Exercise>Q 1

If $z=\frac{1+7i}{(2-i{)}^2}$, then

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IMPORTANT

Achieve Indian Airforce Agniveer Vayu Mathematics Practice Book>Chapter 4 - Complex Numbers and Quadratic Equations>Exercise>Q 2

The amplitude of $\frac{1}{i}$ is equal to

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IMPORTANT

Achieve Indian Airforce Agniveer Vayu Mathematics Practice Book>Chapter 4 - Complex Numbers and Quadratic Equations>Exercise>Q 3

The argument of $\frac{1-i}{1+i}$ is

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IMPORTANT

Achieve Indian Airforce Agniveer Vayu Mathematics Practice Book>Chapter 4 - Complex Numbers and Quadratic Equations>Exercise>Q 4

The amplitude of $\frac{1+i\sqrt{3}}{\sqrt{3}+i}$ is 

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IMPORTANT

Achieve Indian Airforce Agniveer Vayu Mathematics Practice Book>Chapter 4 - Complex Numbers and Quadratic Equations>Exercise>Q 5

If $z=a+ib$ lies in the third quadrant, then $\frac{\overline{z}}{z}$ also lies in the third quadrant if

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Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Mathematics Practice Book>Chapter 4 - Complex Numbers and Quadratic Equations>Exercise>Q 6

$3\left(\cos 300°-i\sin 30°\right)$, when expressed in polar form, is

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Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Mathematics Practice Book>Chapter 4 - Complex Numbers and Quadratic Equations>Exercise>Q 7

$\arg (1+i)=?$