My Math Forum  

Go Back   My Math Forum > College Math Forum > Complex Analysis

Complex Analysis Complex Analysis Math Forum


Reply
 
LinkBack Thread Tools Display Modes
January 11th, 2017, 05:19 AM   #1
Newbie
 
Joined: Jan 2017
From: Pakistan

Posts: 1
Thanks: 0

locus of z=at+b/t

Please find locus of
z=at+b/t
where a and b are complex constants and t is real.

I started with a= a1+a2i and b=b1+b2i but stuck at
x=a1t+b1/t, y=a2+b2/t
how to eliminate t? so that I can get equation in terms of x and y only?

Thanks in advance.
sohailto is offline  
 
January 11th, 2017, 08:39 AM   #2
Global Moderator
 
Joined: Dec 2006

Posts: 16,185
Thanks: 1145

If x = at + b/t and y = ct + d/t,
dx - by = (ad - bc)t and -cx + ay = (ad - bc)/t.
The product of those equations eliminates t.
skipjack is offline  
Reply

  My Math Forum > College Math Forum > Complex Analysis

Tags
b or t, complex analysis, locus, zat



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Locus evaeva Complex Analysis 1 July 17th, 2015 01:41 PM
Locus Monokuro Geometry 5 August 2nd, 2014 07:37 PM
Known locus? Mathmax Algebra 0 May 22nd, 2011 12:09 PM
Locus julian21 Algebra 1 November 8th, 2010 08:26 PM
Need help with locus Goldenglove Complex Analysis 0 December 15th, 2009 11:12 AM





Copyright © 2017 My Math Forum. All rights reserved.