Locus of complex number

  • Thread starter some1
  • Start date
  • #1
2
0
can some 1 help me tho solve this
a complex number, z satisfied the equation |z|=2
draw the locus W which satisfied the equation w=(z+2)/(z-1)
thx
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
25,836
252
Welcome to PF!

Hi some1! Welcome to PF! :smile:

Hint: put z = re, and then use a complex conjugate to get rid of the complex denominator. :wink:
 
  • #3
2
0
still not really understand...can show the step??
thx
 
  • #4
gabbagabbahey
Homework Helper
Gold Member
5,002
7
still not really understand...can show the step??
thx

No, that's not what we do here. When you signed up for your account, you were instructed to read a set of guidelines. In those guidelines, it is made clear that we do not do your homework for you, you must make an effort and show your attempts. TinyTim gave you a good hint, how far do you get when you try to apply his hint? (Post what you've got!)
 
  • #5
tiny-tim
Science Advisor
Homework Helper
25,836
252
Yes, you must show us your attempt …

if w=(z+2)/(z-1), and z = re, then what is w in terms of r and θ ? :smile:
 

Related Threads on Locus of complex number

  • Last Post
Replies
1
Views
970
  • Last Post
Replies
4
Views
10K
  • Last Post
Replies
8
Views
5K
  • Last Post
Replies
3
Views
2K
Replies
15
Views
3K
  • Last Post
Replies
5
Views
4K
  • Last Post
Replies
5
Views
5K
  • Last Post
Replies
2
Views
1K
Replies
1
Views
768
Replies
1
Views
1K
Top