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MCQMediumJEE Main 2025 · 7 April, Shift 1Modulus & Argument

Mathematics Question from JEE Main 2025 · 7 April, Shift 1

Among the statements:

(S1): The set {z∈C−{−i}:∣z∣=1 and z−iz+i is purely real }\{ z \in \mathbb{C} - \{-i\} : |z| = 1 \text{ and } \frac{z - i}{z + i} \text{ is purely real } \} contains exactly two elements.

(S2): The set {z∈C−{−1}:∣z∣=1 and z−1z+1 is purely imaginary }\{ z \in \mathbb{C} - \{-1\} : |z| = 1 \text{ and } \frac{z - 1}{z + 1} \text{ is purely imaginary } \} contains infinitely many elements.

Then, which of the following is correct?

  • A

    both are incorrect

  • B

    only (S1) is correct

  • C

    only (S2) is correct

  • D

    both are correct

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