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Complex Numbers question

2025 · 7 Apr · Shift 1 · Q38

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2025 · 7 Apr · Shift 1 · Q38

Complex Numbers question

2025 · 7 Apr · Shift 1 · Q38

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Among the statements (S1) : The set

\left\{z \in \mathbb{C}-\{-i\}:|z|=1\right.

and

\frac{z-i}{z+i}

is purely real

\}

contains exactly two elements, and (S2) : The set

\left\{z \in \mathbb{C}-\{-1\}:|z|=1\right.

and

\frac{z-1}{z+1}

is purely imaginary

\}

contains infinitely many elements.

A
both are incorrect
B
both are correct
C
only (S2) is correct
D
only (S1) is correct

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