(a)[3]
State two inequalities in terms of $z$ that describe the shaded region.
(b)[3]
Find the greatest value of $|z|$ for points in this region.
Mathematics 9709 · AS & A Level · Complex numbers
Complex numbers — practice question
On the Argand diagram, the shaded area contains the points for complex numbers $z$ that meet two inequalities. A circle and a straight line parallel to the real axis form the boundary, and those boundary lines are included in the shaded area.