|Apr15-09, 02:24 PM||#1|
Locus on the Argand plane
arg ((z-6)/(z-2)) = pi/4
a) Sketch the locus which represents z
b) find the cartesian equation of this locus.
Could someone please help me with both of these parts. I have started by simplifying to arg(z-6) - arg(z-2) = pi/4, and have then drawn the two arguments on a diagram, and found an angle represented by arg(z-6) - arg(z-2). However, I was wondering if there was an algebraic method of solving the problem.
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