Maths p3 - June 2007 - Q 8-ii

[Mortal9090]

The complex number (2/(−1 + i)) is denoted by u.

(ii) Sketch an Argand diagram showing the points representing the complex numbers u and u2. Shade
the region whose points represent the complex numbers which satisfy both the inequalities |z| < 2
and |z-u^2|< |z-u|.

How to sketch?

How to calculate or any link to guides?

many thanks

 

[Mortal9090]

bump

 

[ahmed t]

well all u do is draw a circle of radius 2 at the origin
and then draw a perpendicular for the line between u and u^2
shade the region of the circle that is closer to u^2

 

[abuhantash]

ahmedt is right