If $x+iy=(1+i)(1+2i)(1+3i)$, then $x^2+y^2=$

Important Questions on Complex Numbers and Quadratic Equations

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Agniveer Vayu

IMPORTANT

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

If $z=1-\cos \theta +i\sin \theta$, then $\left|z\right|=$

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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

If $\frac{1-ix}{1+ix}=a+ib$, then $a^2+b^2=$

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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

Which of the following is correct for any two complex numbers $z_1$ and $z_2$?

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IMPORTANT

Achieve Indian Airforce Agniveer Vayu Mathematics Practice Book>Chapter 4 - Complex Numbers and Quadratic Equations>Exercise>Q 8

The complex number $z$ which satisfy the equation $\left|\frac{i+z}{i-z}\right|=1$ lies on

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Agniveer Vayu

IMPORTANT

Achieve Indian Airforce Agniveer Vayu Mathematics Practice Book>Chapter 4 - Complex Numbers and Quadratic Equations>Exercise>Q 9

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

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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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Agniveer Vayu

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