(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given the complex number,u, is given by (7+4i)/(3-2i)

Express u in the form x+iy

Sketch the locus of z such that |z-u|=2

Find the greatest value of arg(z) for points on this locus

2. Relevant equations

For z=x+iy

[tex]|z|=\sqrt{x^2+y^2}[/tex]

[tex]arg(z)=tan^{-1}(\frac{y}{x})[/tex]

3. The attempt at a solution

First part is simply 1+2i

Second part for |z-u|=2, the locus is a circle with centre (1,2) and radius 2

third part with arg(z). Not too sure on how to find this.

I would assume the largest value for the circle is pi since it is a circle.

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# Greatest value of the arg. of a complex number

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