Question:
Suppose we unify complex numbers with points on the complex plane. Let $z_1$ and $z_2$ be two complex numbers, both at a distance of $2$ from the origin of the coordinate system. Additionally, let $z_1$ lie on the positive real axis and $z_2$ on the positive imaginary axis. From the complex numbers listed below, choose all whose distance from $z_1$ is less than their distance from $z_2$.
Project ID:
7400200086
Answer 1:
$$1+\mathrm{i}$$
Answer 1 Correct:
0
Answer 2:
$$2$$
Answer 2 Correct:
1
Answer 3:
$$2+\mathrm{i}$$
Answer 3 Correct:
1
Answer 4:
$$2\mathrm{i}$$
Answer 4 Correct:
0
Answer 5:
$$13+14\mathrm{i}$$
Answer 5 Correct:
0
Answer 6:
$$14+13\mathrm{i}$$
Answer 6 Correct:
1
Answer 7:
$$1+2\mathrm{i}$$
Answer 7 Correct:
0
Answer 8 Correct:
0