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Among the statements (S1): The set {z ∈ C – {–i} : |z| = 1 and i z i z + − is purely real} contains exactly two elements, and (S2): The set {z ∈ C – {–1} : |z| = 1 and 1 z 1 z + − is purely imaginary} contains infinitely many elements.

1. Both are correct
2. Only (S1) is correct
3. Only (S2) is correct
4. Both are incorrect

Correct answer: Only (S2) is correct

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