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. 
January 11th, 2017, 08:39 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,142 Thanks: 1417 
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. 

Tags 
b or t, complex analysis, locus, zat 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Locus  evaeva  Complex Analysis  1  July 17th, 2015 02:41 PM 
Locus  Monokuro  Geometry  5  August 2nd, 2014 08:37 PM 
Known locus?  Mathmax  Algebra  0  May 22nd, 2011 01:09 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 