Let z be a complex number satisfying `|z| = 3 |z-1|`. Then prove that `|z-(9)/(8)| = (3)/(8)`

Explanation

To prove that \( |z - \frac{9}{8}| = \frac{3}{8} \) given that \( |z| = 3 |z - 1| \), we will follow these steps:

### Step 1: Express \( z \) in terms of its real and imaginary parts.
Let \( z = x + iy \), where \( x \) and \( y \) are real numbers.

### Step 2: Write the modulus equations.
We know that:
\[
...