If `z_1, z_2` are complex number such that `(2z_1)/(3z_2)` is purely imaginary number, then find `|(z_1-z_2)/(z_1+z_2)|` .

Explanation

To solve the problem, we need to find the value of \( \left| \frac{z_1 - z_2}{z_1 + z_2} \right| \) given that \( \frac{2z_1}{3z_2} \) is purely imaginary.

### Step-by-Step Solution:

1. **Given Condition**:
We know that \( \frac{2z_1}{3z_2} \) is purely imaginary. This means that it can be expressed as \( \frac{2z_1}{3z_2} = i\lambda \), where \( \lambda \) is a real number.

2. **Rearranging the Equation**:
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