Argand Diagrams question. Watch
I would appreciate it if somebody could explain why my method works and also a different, more efficient solution (if there is one). Thanks
so if you have z - 11 - 10i that is like a vector from 11,10 to z.
the locus of z is the circle from part a. so we need to consider lines from the point (11,10) to the circle. they want to know which line has the most negative angle, measured from the horizontal direction to the right at point B in the picture.
arg(z-11-10i) is a half line extending from 11+10i to z , which is tangential to your circle since you want the minimum. mess around with some triangles and the answer pops out.