(a)[3]
Find the pair of inequalities in terms of $z$ that describe the shaded region.
(b)[3]
Calculate the least possible value of $\arg z$ for points in this region.
Mathematics 9709 · AS & A Level · Complex numbers
Complex numbers — practice question
In the Argand diagram, the shaded set consists of complex numbers $z$ satisfying two inequalities. It is enclosed by a circle and by a line parallel to the imaginary axis, and the boundary curves are included in the shaded set.