The set of z E C that satisfies the condition |z| = |z+i|is O (A) empty O (B) the intersection of the circle with center at the origin and radius one, with the circle with center (0, 1) and radius one O (C) a line parallel to the imaginary axis O (D) a circle with center at the origin and radius one O (E) a line parallel to the real axis

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
icon
Related questions
Question
The set of z E C that satisfies the condition |z| = |z+i|is
O (A) empty
O (B) the intersection of the circle with center at the origin and radius one, with the circle with center (0, 1) and radius one
O (C) a line parallel to the imaginary axis
O (D) a circle with center at the origin and radius one
O (E) a line parallel to the real axis
Transcribed Image Text:The set of z E C that satisfies the condition |z| = |z+i|is O (A) empty O (B) the intersection of the circle with center at the origin and radius one, with the circle with center (0, 1) and radius one O (C) a line parallel to the imaginary axis O (D) a circle with center at the origin and radius one O (E) a line parallel to the real axis
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage