# Thread: Complex numbers: how do I show unique solution?

1. ## Complex numbers: how do I show unique solution?

Hi, I would really appreciate some help on part a, i'm simply getting no where. This is classed as a geometry question, but I haven't covered anything close to this in lectures yet so i'm a little confused, thanks in advance!

Moderator edit: From past Oxford moderation paper.

2. Hi

$\displaystyle \displaystyle Az + B \bar{z} = C$
Conjugating :
$\displaystyle \displaystyle \bar{B}z + \bar{A} \bar{z} = \bar{C}$

Now try to eliminate $\displaystyle \bar{z}$ through a combination of the 2 equations

3. Nice! part a is now sorted, thanks

Any chance you could give me a hint for the part about a reflection in b, all is going smoothly up to there now

4. Originally Posted by LHS

Hi, I would really appreciate some help on part a, i'm simply getting no where. This is classed as a geometry question, but I haven't covered anything close to this in lectures yet so i'm a little confused, thanks in advance!
This looks like part of an assignment that counts towards your final grade. Thread closed (see rule #6).