What is the locus of complex numbers satisfying a specific argument condition?

[shafeek]

complex numbers problem -HELP!

i have thinking about this problem for atleast 2 hours but still it hasnt struck me :
Show that the locus of z, which satisfy arg(z-1/z-2)=pi/4 is the major arc of a circle.Also find centre and radius of corresponding circle.
(this problem is from FIITJEE (an institute which trains you for the IIT-JEE)
study package for complex numbers )
Thanks in advance to everyone who can help.

 

[shafeek]

I can't even find a way to approach this porblem.nay help would be gladly appreciated.

 

[shafeek]

Hey guys, at least give me a clue please.I have to submit the assignment problems in which this is included tommorow.

 

[Integral]

Look at the definition or Arg. express your relationship in terms of x and y,
x= real z; y=img z.