On a sketch of an Argand diagram, shade the region whose points represent complex numbers $$\(z\)$$ satisfying the inequalities $$\(|z+1-i| \leqslant 1\)$$ and $$\(\arg (z-1) \leqslant \frac{3}{4} \pi\)$$.

Answer:

Show a circle with centre \(-1+i\).
Show a circle with radius 1 and centre not at the origin (or relevant part thereof).
Show correct half line from 1(or relevant part thereof).
Shade the correct region on a correct diagram.

Knowledge points:

Solution: