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

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The discussion centers on a complex numbers problem requiring the demonstration that the locus of z satisfying the condition arg(z-1/z-2) = π/4 forms the major arc of a circle. Participants emphasize the need to express the relationship in terms of real and imaginary components, specifically x and y. Suggestions include reviewing the definition of the argument of a complex number and using geometric interpretations. The problem is part of a study package from FIITJEE, indicating its relevance for IIT-JEE preparation. Assistance is sought urgently due to an impending assignment deadline.
shafeek
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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.
 
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I can't even find a way to approach this porblem.nay help would be gladly appreciated.
 
Hey guys, at least give me a clue please.I have to submit the assignment problems in which this is included tommorow.:cry:
 
Look at the definition or Arg. express your relationship in terms of x and y,
x= real z; y=img z.
 

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