Sy123
This too shall pass
- Joined
- Nov 6, 2011
- Messages
- 3,730
- Gender
- Male
- HSC
- 2013
Re: HSC 2014 4U Marathon
Think of it this way
since z=(x^2-1) + 2x i
What is z if x=1? or x=2? or x=3?
You get a series of dots, but they follow a certain curve, this curve is the locus. How do you find this locus given z?
How do you let z=x+iy?Facedesk*
I just recapped, I kept trying to think visually but i guess algebraic would be best...
Its just letting z=x+i that threw me off.
So i let z=x+iy.
for i) it is clear that locus is y=1 by equating coeff
ii) Similarly from your expansion y=1 should also be locus for z squared.
Think of it this way
since z=(x^2-1) + 2x i
What is z if x=1? or x=2? or x=3?
You get a series of dots, but they follow a certain curve, this curve is the locus. How do you find this locus given z?