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Chapter 2: Q61P (page 55)

Describe geometrically the set of points in the complex plane satisfying the following equations. .

Short Answer

Expert verified

The equation is the lower part of the xy-plane.

Step by step solution

01

Given Information

The equation is Imz<0.

02

Definition of the Complex number

A complex number can be expressed as:

z=x+iy

Where z is the complex number, x and y are real numbers, and i is known as iota, whose value is (-1) .

The modulus of a complex number can be calculated as:

|z|=(x2+y2)

03

Find the value

The equation is Imz<0..

The complex number is z=x+iy.

Imz<0Y<0

Hence, the equation is the lower part of the xy-plane.

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