So I'm struggling with questions of the form:
Find the locus of the point P, where P represents a complex number z such that
As far as I can tell from answers to questions of this form, z describes the arc of a circle that starts at and goes clockwise round to . Let's call these points A and B. The centre of the circle can be determined by noting that the angle AOB = .
In the case of the example I gave (as far as I'm aware), the locus of the point P would look like this.
My problem is that I don't have a clue why this is, or if this is even actually the case. If anybody could help me it would be very much appreciated.
Complex Numbers and Loci
|Rate your uni — help us build a league table based on real student views||19-08-2015|
Use arg(z/w)=argz-argw and then letting z=x+iy and considering the arg as arctan might help to see where the locus comes from.
i find it very difficult to see these loci without a diagram. hope this one helps
RegisterThanks for posting! You just need to create an account in order to submit the post Already a member? Sign in
Oops, something wasn't right
please check the following: