If `|z-5i|=|z+5i` , then the locus of `zdot`

Explanation

To solve the problem where \( |z - 5i| = |z + 5i| \), we can follow these steps:

### Step 1: Understand the expression
Given that \( z \) is a complex number, we can express it as \( z = x + iy \), where \( x \) is the real part and \( y \) is the imaginary part.

### Step 2: Rewrite the equation
The equation \( |z - 5i| = |z + 5i| \) can be rewritten using the expression for \( z \):
\[
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