A Level Further Maths Core Pure Year 1 Chapter 2: Mini test

Which is correct?

• arg(z₁z₂)=argz₁+argz₂
• arg(z₁z₂)=(argz₁)(argz₂)
• arg(z₁+z₂)=argz₁+argz₂
• arg(z₁+z₂)=argz₁z₂

Fix argz=15π/2

• 7.5π
• What's wrong?
• π/2
• -π/2

|z-(a+bi)|=3

• Circle, centre (a,b) r=9
• Circle, centre (a,b) r=\sqrt{3}
• Circle, centre (a,b) r=3
• Circle, centre (-a,-b) r=3

the line y=x

• a=bi
• argz=π/4
• argz=π/2
• argz=-3π/4

What does the diagram show?

• z-3+5i=z+7+5i
• |z-(-3+5i)|=|z-(7+5i)|
• |z-3+5i|=|z+7+5i|
• |z+3-5i)|=|z-7-5)i|