Math Help - A few complex number problems

Hi
The following questions i am having trouble with:

1) Plot the set of points in the complex plane which satisfy

2) Express the complex number in the form re^{j\theta} hence obtain the cartesian form of

This is what i have attempted:
I found out that

hence i make

what would i do next?

P.S

Originally Posted by Paymemoney

Hi
The following questions i am having trouble with:

1) Plot the set of points in the complex plane which satisfy

2) Express the complex number in the form re^{j\theta} hence obtain the cartesian form of

This is what i have attempted:
I found out that

hence i make

what would i do next?

P.S

1) The relation can be written . Geometrically, and you should know this, this defines a circle of radius 2 and center at z = -1 - j.

2) Use an index law to simplify the power. Then convert the resulting polar form into Cartesian form.

thank you

Specifically, |a- b| is the distance between points in the plane, interpreted as complex numbers. So |z- a|= r is the set of points whose distance from a is r- that is, the circle with center a and radius r.