If `|z_(1)|=|z_(2)|, "is it necesssary that "z_(1) = z_(2)`.

Explanation

To determine whether \( z_1 = z_2 \) if \( |z_1| = |z_2| \), we can analyze the properties of complex numbers and their magnitudes.

### Step-by-Step Solution:

1. **Understanding the Magnitude of Complex Numbers**:
- The magnitude (or modulus) of a complex number \( z \) is defined as the distance from the origin in the complex plane. For a complex number \( z = x + yi \), where \( x \) and \( y \) are real numbers, the magnitude is given by:
\[
|z| = \sqrt{x^2 + y^2}
...