To Find: The geometric figure which describes the
A
Given:
Find the geometric figure which describes the complex numbers with absolute value
Explanation:
The representation of absolute value of a complex number and Using the complex number plane to solve the problem:
A complex number's absolute value is the distance between its pole and the point representing it on the Argand/Complex plane.
This can be verified as follows:
The distance between the point representing it and the pole is
As a result, Complex numbers with absolute value
The circumference of a geometric figure is made up of points that are equally distant from a fixed point (the centre).
A fixed point is represented by the pole, and a fixed distance is represented by the radius of the circle of
This means that a circle with a radius of
The geometric figure is the circle:
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education