SilverTan SilverTan
  • 10-10-2017
  • Mathematics
contestada

Find the loci for the complex numbers that satisfy[tex]|z-1|=|z+1|[/tex]

Respuesta :

LammettHash
LammettHash LammettHash
  • 10-10-2017
Let [tex]z=x+iy[/tex]. Then

[tex]|z-1|=\sqrt{(x-1)^2+y^2}[/tex]
[tex]|z+1|=\sqrt{(x+1)^2+y^2}[/tex]
[tex]\implies (x-1)^2+y^2=(x+1)^2+y^2[/tex]
[tex]\implies (x-1)^2=(x+1)^2[/tex]
[tex]\implies -2x=2x[/tex]
[tex]\implies x=0[/tex]
Answer Link

Otras preguntas

What is closer 17,160 feet 2,640 yards or 7/4 of a mile
A verb form which ends in -ing, -d, -ed, -n, -en, or -t, and is used as an adjective is called a(n) _____. appositive gerund infinitive participle
what is it called when a high percentage of the species on earth dies off at a particular time
what is the simplified expression for 5ab+9ab-ab?
Simplify 81.56 + n - 2.55.
what is the unit price for a pice a cheese if 1.24 pounds cost $11.25?
Alfonso is conducting an experiment to determine whether temperature affects how fast earthworms move. What are the dependent and independent variables in his
A leader demonstrates integrity by
what is_ :12=7:14 answer
Which of the following individuals can become a naturalized citizen? A. Anyone born outside the United States to parents who aren't citizens of the United State