Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
SheldonEinstein
Group Title
Let z be a complex number than locus represented by iz1 + zi = 2 is : a) a line , b) a circle , c) a pair of straight lines, d) a parabola
 2 years ago
 2 years ago
SheldonEinstein Group Title
Let z be a complex number than locus represented by iz1 + zi = 2 is : a) a line , b) a circle , c) a pair of straight lines, d) a parabola
 2 years ago
 2 years ago

This Question is Closed

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
i think it is a l ine
 2 years ago

SheldonEinstein Group TitleBest ResponseYou've already chosen the best response.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,
 2 years ago

SheldonEinstein Group TitleBest ResponseYou've already chosen the best response.0
@satellite73 rethink please :)
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
scratch that, i think it is a region bounded by two line
 2 years ago

SheldonEinstein Group TitleBest ResponseYou've already chosen the best response.0
OK so since it is IIT based so I will say : There may be no answers or multiple answers
 2 years ago

SheldonEinstein Group TitleBest ResponseYou've already chosen the best response.0
Well yes @satellite73 has the answer, it will be a line \(\textbf{segment}\)
 2 years ago

SheldonEinstein Group TitleBest ResponseYou've already chosen the best response.0
But I am half way stuck @satellite73 , can you show your work, I think @experimentX is also writing his work :)
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
put z = x + iy you would get, \[ \sqrt{(y1)^2 + x^2} + \sqrt{x^2 + (y1)^2} = 2\] http://www.wolframalpha.com/input/?i=plot+\sqrt{%28y1%29^2+%2B+x^2}+%2B+\sqrt{x^2+%2B+%28y1%29^2}+%3D+2 guess it is a circle
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
woops!! (y+1)^2
 2 years ago

SheldonEinstein Group TitleBest ResponseYou've already chosen the best response.0
What I can do is : \[\large{(iz1) + (zi) =2}\] \[\large{i(z+i)+zi=2}\] \[\large{iz+i + zi = 2 }\] \[\large{z+i + zi = 2}\]
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
that looks good
 2 years ago

SheldonEinstein Group TitleBest ResponseYou've already chosen the best response.0
dw:1352908224557:dw
 2 years ago

SheldonEinstein Group TitleBest ResponseYou've already chosen the best response.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! )
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
yes \(x=0\)
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
i did it the donkey way but your way is much much better i think
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
\(z=i\) is a solution
 2 years ago

SheldonEinstein Group TitleBest ResponseYou've already chosen the best response.0
Oh! No problem, sometimes we learn a lot from "that say donkey ways" , thanks for your time : @experimentX @satellite73
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
z <= 1 and z = i
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
no wonder it does not show in x's and y's
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
\(z=i\) is also a solution
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
the solution is a line segment from +i to i
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
\[\large{z+i + zi = 2}\] change of variables shift along the complex plane \[w=z+i\] \[{w + w2i = 2}\]
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
dw:1352909335544:dw
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
circle + circle = circle?
 2 years ago
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
 Engagement 19 Mad Hatter
 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.