Argand Diagram Quiz

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Complex plane concepts

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gray

India

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Froggy Jumps Argand Diagram QuizOnline version Complex plane concepts by gray 1 What does the Argand diagram represent in geometry? a Each complex number as a point (a,b) in the plane b A purely algebraic symbol set c A 3D coordinate grid for vectors 2 In the Argand diagram, which axis is the real part plotted on? a Vertical imaginary axis b Horizontal real axis c Diagonal modulus axis 3 How is a+bi represented in the Argand plane? a As the point (b,a) b As the point (a,b) from the origin c As the line segment from 0 to a 4 What is the modulus of z = a + bi? a \|a\| + \|b\| b a^2 + b^2 c sqrt(a^2 + b^2) 5 What does the complex conjugate z̅ reflect across in the diagram? a Line y = x b Imaginary axis c Real axis (horizontal reflection) 6 What is the argument of z relative to the real axis? a Distance from origin b Angle from the positive real axis to z c Angle from the imaginary axis 7 A point on the unit circle corresponds to a complex number with what modulus? a Modulus 1 b Modulus 2 c Modulus 0 8 Addition of complex numbers in the Argand diagram corresponds to what? a Scaling along axes b Rotation around the origin c Vector (parallelogram) addition 9 Multiplying by i on the Argand diagram results in what transformation? a Scaling by i b Rotation by 90 degrees about the origin c Reflection across the real axis 10 A complex number a+bi is plotted at which coordinates? a (a,b) in the plane b (a,b,i) c (b,a)

Froggy Jumps

Argand Diagram QuizOnline version

Complex plane concepts

by gray

What does the Argand diagram represent in geometry?

Each complex number as a point (a,b) in the plane

A purely algebraic symbol set

A 3D coordinate grid for vectors

In the Argand diagram, which axis is the real part plotted on?

Vertical imaginary axis

Horizontal real axis

Diagonal modulus axis

How is a+bi represented in the Argand plane?

As the point (b,a)

As the point (a,b) from the origin

As the line segment from 0 to a

What is the modulus of z = a + bi?

|a| + |b|

a^2 + b^2

sqrt(a^2 + b^2)

What does the complex conjugate z̅ reflect across in the diagram?

Line y = x

Imaginary axis

Real axis (horizontal reflection)

What is the argument of z relative to the real axis?

Distance from origin

Angle from the positive real axis to z

Angle from the imaginary axis

A point on the unit circle corresponds to a complex number with what modulus?

Modulus 1

Modulus 2

Modulus 0

Addition of complex numbers in the Argand diagram corresponds to what?

Scaling along axes

Rotation around the origin

Vector (parallelogram) addition

Multiplying by i on the Argand diagram results in what transformation?

Scaling by i

Rotation by 90 degrees about the origin

Reflection across the real axis

A complex number a+bi is plotted at which coordinates?

(a,b) in the plane

(a,b,i)

(b,a)

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Argand Diagram Quiz

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Argand Diagram QuizOnline version

by gray

What does the Argand diagram represent in geometry?

In the Argand diagram, which axis is the real part plotted on?

How is a+bi represented in the Argand plane?

What is the modulus of z = a + bi?

What does the complex conjugate z̅ reflect across in the diagram?

What is the argument of z relative to the real axis?

A point on the unit circle corresponds to a complex number with what modulus?

Addition of complex numbers in the Argand diagram corresponds to what?

Multiplying by i on the Argand diagram results in what transformation?

A complex number a+bi is plotted at which coordinates?

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