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

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Homework Help Overview

The problem involves complex numbers and requires showing that the locus of a complex number \( z \) satisfying a specific argument condition is the major arc of a circle. The context is rooted in complex analysis, particularly focusing on the argument of complex numbers.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants express difficulty in approaching the problem and seek guidance. Some suggest using the definition of the argument and relating the complex number to its real and imaginary components.

Discussion Status

The discussion is ongoing, with participants actively seeking hints and clues to progress. Some guidance has been offered regarding expressing the relationship in terms of real and imaginary parts, but no consensus or complete solutions have emerged.

Contextual Notes

Participants mention a deadline for submission, indicating a time constraint that may affect their approach to the problem.

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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