1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Complex plane locus question (another one!)

  1. Mar 22, 2014 #1
    1. The problem statement, all variables and given/known data

    again there is no answer provided in the book!

    a +bt +ct^2 = z where t is a real parameter, and a, b, c are complex numbers with b/c real

    2. Relevant equations

    3. The attempt at a solution

    b/c real indicates that b and c are pure imaginary so when you split the equation into real and imaginary parts:

    x = Re(a)

    y = Im(a) + Im(b)t + Im(c)t^2

    since t is a parameter, in the complex plane, the locus of z is a straight vertical line with x = Re(a)?
  2. jcsd
  3. Mar 22, 2014 #2
    Are you sure? What if b = 1 + i and c = 2 + 2i ?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted