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If z(1) = a + ib " and " z(2) + c id a...

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 :

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