Argand diagrams

Question 1

How to find r from a + bi / a- bi

Answer 1

square root of a^2 + b^2

Question 2

How to find * from a + bi / a- bi

Answer 2

arctan b/a (b and a are always positive no matter the equation)

Question 3

z1 / z2 =

Answer 3

r1 / r2
*1 - *2

Question 4

z1 x z2 =

Answer 4

r1 x r2
*1 x *2

Question 5

modulus of z-a + bi = r forms what shape

Answer 5

loci question
a circle with centre (-a, -b)

Question 6

modulus z-a = modulus z-b forms what

Answer 6

loci question
two point connected by a dotted line and a perpendicular perfectly half way between the two points

Question 7

arg (z-a+bi) = * forms what

Answer 7

loci question
a dotted line from the point (-a, -b) and the angle * from that line

Question 8

What is on the y axis

Answer 8

imaginary part of equation

Question 9

what is on the x axis

Answer 9

the real part of the equation

Question 10

What are the types of questions with argand diagrams

Answer 10

Draw the equations
Solve for the region of values
Inequalities and shading the graph