10.11 For what real values of $x$ and $y$ are the complex numbers $\quad z_{1}=x^{2}(1-3 i)-10 \quad$ and $\quad z_{2}=y(y-i) \quad$ opposites?

Illustrate the sets of points for which the given conditions (10.12-10.16) are satisfied:

$10.12-1 \leq \operatorname{Im} z<2$.

$10.13|z| \leq 2$.

$10.14|z+i|=1.5$.
10.11 Instruction. Write the numbers $z_{1}$ and $z_{2}$ in algebraic form and use the condition of equality of complex numbers $z_{1}$ and $-z_{2}$.

Answer: $x_{1}=1, y_{1}=-3 ; x_{2}=-1, y_{2}=-3$.