complex numbers (1 Viewer)

[maths lover]

how would u find the center of the circle and radius when defined as.
arg(z-2)-arg(z+2)=(pi/2). thankyou

 

[RealiseNothing]

It's a semi-circle with x values -2 and 2 as end points and radius 2, centre(0,0).

I think that's it.

 

[ohexploitable]

centre at the origin

radius=2

 

[RealiseNothing]

centre at the origin

radius=2

Isn't it a positive semi-circle not a full circle?

 

[SpiralFlex]

Isn't it a positive semi-circle not a full circle?

Correct, you must state it is the positive half of the semi-circle.

 

[maths lover]

sorry so why is it that when you replace (pi/2) with (3pi/4) the center becomes (0,-i). and how do you find the radius of this too.

 

[ohexploitable]

sorry so why is it that when you replace (pi/2) with (3pi/4) the center becomes (0,-i). and how do you find the radius of this too.

draw it and then use basic trig

 

[Nooblet94]

http://dl.dropbox.com/u/32043315/Circle Locus.png

There's a screenie from my notes. Fairly sure that it's correct, but there might be mistakes, wrote it at like 11pm one night.

 

[maths lover]

thankyou to everyone, espicially nooblet94.