What is the locus of `z ,` if amplitude of `(z-2-3i)` is `pi/4?`

Explanation

To find the locus of \( z \) such that the amplitude of \( z - 2 - 3i \) is \( \frac{\pi}{4} \), we can follow these steps:

### Step 1: Define the complex number
Let \( z = x + iy \), where \( x \) and \( y \) are the real and imaginary parts of \( z \), respectively.

### Step 2: Rewrite the expression
We can express \( z - 2 - 3i \) as:
\[
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