The argand Diagram

Question 1

What is the modulus ?

Answer 1

The distance of a point from the origin

Question 2

What is the Modulus of z ? |z| in the form z = x+yi

Answer 2

Question 3

What is the argument ?

Answer 3

The anti-clockwise rotation from the positive real axis ( in radians)

Question 4

What is the argument of (z) in the form z= x + yi?

Answer 4

Question 5

z = -1 + i

Find |z| and arg (z)

Answer 5

Question 6

z = -1 -3i

Find |z| and arg (z)

Answer 6

Question 7

What is the modulus argument form ? (Derivation )

Answer 7

Question 8

Answer 8

Question 9

Why happens to the Modulus and argument when multiplying complex numbers ?

Answer 9

Modulus multiplies.
Argument adds

Question 10

What happens to the Modulus and argument when dividing complex numbers?

Answer 10

Modulus also divided.
Argument : the angle is minused

Question 11

Answer 11

Question 12

Draw the unit circle

Answer 12

Question 13

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Question 14

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Question 15

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Question 16

Answer 16

Question 17

Finding Modulus and argument in correct form

Answer 17

Question 18

What the two identity equations of sin and cos?

Answer 18

• cos (x) = cos (-x)
• sin (-x) = -sin(x)

Question 19

What is the standard Modulus argument form?

Answer 19

Question 20

Answer 20

Question 21

What is the mod of |z - 3|?

Answer 21

Put the real parts together

Question 22

Answer 22

Question 23

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Question 24

Answer 24

Equal distance, at a perpendicular bisector

Question 25

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Question 26

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Question 27

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Question 28

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Question 29

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Question 30

What is a locus?

Answer 30

the set of locations a point can occupy when constrained by a given rule.
Plural: loci

Question 31

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Question 32

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Question 33

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Question 34

Question 35

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Question 36

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Question 37

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Question 38

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Question 39

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Question 40

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Question 41

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Question 42

How do you access the complex number mode in calculator ?

Answer 42

Options, Math, Complex

Question 43

What is the shortest distance between a point and a line?

Answer 43

The perpendicular bisector

Question 44

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Question 45

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Question 46

Answer 46

When using Argand diagram label all points

Question 47

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Question 48

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Question 49

Answer 49