Test 18
1.
\(|z-3|\le1\)
Which graph represents the inequality?
A) B) C) D) E)
2.
The shaded region is an annulus centered at 2 with inner radius 2 and outer radius 3. Which system represents it?
A) \(|z-2|\ge1\)B) \(2\le|z-2|<3\)C) \(1\le|z-2|\le3\)D) \(|z-2|\ge1,\ |z-2|\ge3\)E) \(4\le|z-2|<9\)
3.
\(z\in\mathbb C\)
\(|z-3+4i|=8\)
\(\Rightarrow\max|z|=?\)
A) \(3\)B) \(5\)C) \(7\)D) \(10\)E) \(13\)
4.
\(z=x+yi,\ |z|\le6\)
\(\Rightarrow\min|z-8-6i|=?\)
A) \(4\)B) \(6\)C) \(8\)D) \(9\)E) \(10\)
5.
\(z\in\mathbb C,\ |z|\le8\)
\(\Rightarrow\max|z-5-12i|=?\)
A) \(10\)B) \(15\)C) \(20\)D) \(21\)E) \(25\)
6.
Which system describes the shaded set?
A) \(|z|<3,\ \operatorname{Re}(z)<-2\)B) \(|z|>3,\ \operatorname{Re}(z)<-2\)C) \(|z|\le3,\ \operatorname{Im}(z)<-2\)D) \(|z|\le3,\ \operatorname{Re}(z)\le-2\)E) \(|z|\le3,\ \operatorname{Re}(z)<-2\)
7.
\(\{z:|z+i|\ge|z+1|,\ |z|\le3,\ z\in\mathbb C\}\)
Which graph represents the set?
A) B) C) D) E)