Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

SheldonEinstein Group Title

Let z be a complex number than locus represented by |iz-1| + |z-i| = 2 is : a) a line , b) a circle , c) a pair of straight lines, d) a parabola

  • one year ago
  • one year ago

  • This Question is Closed
  1. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    i think it is a l ine

    • one year ago
  2. SheldonEinstein Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Sorry for the mistake in the question earlier , the modified quest. is in the post itself. I seek help from the users presented here as soon as possible,

    • one year ago
  3. SheldonEinstein Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @satellite73 rethink please :)

    • one year ago
  4. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    scratch that, i think it is a region bounded by two line

    • one year ago
  5. SheldonEinstein Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    OK so since it is IIT based so I will say : There may be no answers or multiple answers

    • one year ago
  6. SheldonEinstein Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Well yes @satellite73 has the answer, it will be a line \(\textbf{segment}\)

    • one year ago
  7. SheldonEinstein Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    But I am half way stuck @satellite73 , can you show your work, I think @experimentX is also writing his work :)

    • one year ago
  8. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    put z = x + iy you would get, \[ \sqrt{(y-1)^2 + x^2} + \sqrt{x^2 + (y-1)^2} = 2\] http://www.wolframalpha.com/input/?i=plot+\sqrt{%28y-1%29^2+%2B+x^2}+%2B+\sqrt{x^2+%2B+%28y-1%29^2}+%3D+2 guess it is a circle

    • one year ago
  9. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    woops!! (y+1)^2

    • one year ago
  10. SheldonEinstein Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    What I can do is : \[\large{|(-iz-1)| + |(z-i)| =2}\] \[\large{|i(z+i)|+|z-i|=2}\] \[\large{|i||z+i| + |z-i| = 2 }\] \[\large{|z+i| + |z-i| = 2}\]

    • one year ago
  11. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    that looks good

    • one year ago
  12. SheldonEinstein Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1352908224557:dw|

    • one year ago
  13. SheldonEinstein Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    So am I right in my way @experimentX @satellite73 ? (Since I am only given 54 seconds to do these type of questions so I prefer to use shortcuts that is here : not putting z = x + iy , my opinion said , yes ! x will be equal to zero if we are going to solve it! )

    • one year ago
  14. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yes \(x=0\)

    • one year ago
  15. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    i did it the donkey way but your way is much much better i think

    • one year ago
  16. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    \(z=i\) is a solution

    • one year ago
  17. SheldonEinstein Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh! No problem, sometimes we learn a lot from "that say donkey ways" , thanks for your time : @experimentX @satellite73

    • one year ago
  18. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |z| <= 1 and z = i

    • one year ago
  19. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    no wonder it does not show in x's and y's

    • one year ago
  20. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    \(z=-i\) is also a solution

    • one year ago
  21. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    the solution is a line segment from +i to -i

    • one year ago
  22. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\large{|z+i| + |z-i| = 2}\] change of variables shift along the complex plane \[w=z+i\] \[{|w| + |w-2i| = 2}\]

    • one year ago
  23. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1352909335544:dw|

    • one year ago
  24. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    circle + circle = circle?

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.