Complex number problem

[Isaacstannard]

Any one provide a quick sketch for this?

 

[Deleted member 4993]

Any one provide a quick sketch for this?
View attachment 25212

Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem.


View attachment 25212

 

[Isaacstannard]

I understand that the set C it the collection of numbers with positive Real and positive Imaginary parts. And B is the set of numbers with lie on the circumference of the circle with centre at 2i and radius 2 but I don't really understand what set of numbers A is

 

[Deleted member 4993]

I understand that the set C it the collection of numbers with positive Real and positive Imaginary parts. And B is the set of numbers with lie on the circumference of the circle with centre at 2i and radius 2 but I don't really understand what set of numbers A is

What is:

(1- i)*z =? ............ and

Re((1- i)*z) =?

 

[Dr.Peterson]

I understand that the set C it the collection of numbers with positive Real and positive Imaginary parts. And B is the set of numbers with lie on the circumference of the circle with centre at 2i and radius 2 but I don't really understand what set of numbers A is

If you let z = x + iy, what are the components of (1 - i)z? Set the real part to 2, and graph the equation.

 

[Isaacstannard]

Thank you, I think I have got it now. Much appreciated