Among the statements (S1): The set \{z \in C-\{-i\}:|z|=1. and \frac{z-i}{z+i} is purely real\} contains exactly two elements, and (S2): The set \{z \in C-\{-1\}:|z|=1. and \frac{z-1}{z+1} is purely imaginary contains infinitely many elements. [7 Apr 2025 Shift 1]

Correct Answer is : Only (S2) is correct

Complex Numbers Part 2

Section: Mathematics

Question : 13 of 97

Marks: +1, -0

Among the statements
(S1): The set {z∈C−{−i}:|z|=1. and ‌

z−i

z+i

is purely real\} contains exactly two elements, and
(S2): The set {z∈C−{−1}:|z|=1. and ‌

z−1

z+1

is purely imaginary contains infinitely many elements.

[7 Apr 2025 Shift 1]

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