complex s

please give a detailed solution... dont give me hints i tried it many times before editing [2]

can u please tell me equation of line perpendicular to

az + \bar{a}\bar{z}+b=0
yaar actually i cant make out difference b/w two equation ....
a\bar{z} + \bar{a}z+b=0
and az + \bar{a}\bar{z}+b=0

do i have to stick to one format ????

i know they may be easy but please help ...

\left|z \right|\leq 1 and \left|\omega \right| \leq 1
then show that
\left|\ (z-\omega) ^{2} \right| \leq 1 \leq (\left|z \right|-\left|\omega \right|)^{2} +(arg(z) -arg(\omega))^{2}