Question

4. Find the geometric images for the complex numbers z in each of the following points,given their polar coordinates. a) |z| = 2; b) |z + i| >=2
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Answer 1

Answer:

You can easily check that a complex number z = x + yi times its conjugate x – yi is the square of its absolute value |z|2. Therefore, 1/z is the conjugate of z divided by the square of its absolute value |z|2.