If ` z_(1) = a + ib " and " z_(2) + c id ` are complex numbers such that ` |z_(1)| = |z_(2)| = 1 ` and ` Re (z_(1)bar (z)_(2)) = 0 `,
then the pair of complex numbers ` w_(1) = a + ic " and " w_(2) = b id ` satisfies :

Explanation

To solve the problem, we start with the given complex numbers \( z_1 = a + ib \) and \( z_2 = c + id \). We know that:

1. \( |z_1| = |z_2| = 1 \)
2. \( \text{Re}(z_1 \overline{z_2}) = 0 \)

### Step 1: Use the modulus condition

Since \( |z_1| = 1 \), we have:
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