Let the complex numbers and 1/ lie on two circles determined by z_0=1+i.

Question

Let the complex numbers $\alpha$ and $1/\bar\alpha$ lie on two circles determined by $z_0=1+i$. Then the value of $100|\alpha|^2$ is \_\_\_\_\_\_.

Answer: 20

Accepted Answer

*(The source PDF gave no options and no worked solution for this question --- only the final numeric answer. The precise circle equations relating $\alpha$ and $1/\bar\alpha$ to $z_0=1+i$ could not be reliably recovered from the extracted text.)*

Solutions · 1