Find the locus of the following: arg(z-3) - arg(z+2) = pi/6
So far THis is what I have done:
1. I have plotted the two points (on the complex plane)---> (-2,0) and (3,0)
2. Now the locus would go in a circle, with these two points on the circumference.
3. Then I put the angle that is subtended by the chord of these two ponts at the circumference as pi/6
4. The centre of that circle would be (0.5, 0)
5. Hence the angle subtended by the chord at the centre would be pi/3 (angle at centre is twice than angle at circumference)
That is what I got up to. I know my explanation might be hard to visualise So I tried to draw up what I had in word and is attached, please have a look.
Thank You
ri0t