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Complex Numbers question

2021 · 27 Aug · Shift 1 · Q26

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2021 · 27 Aug · Shift 1 · Q26

Complex Numbers question

2021 · 27 Aug · Shift 1 · Q26

JEE MainMathematicsComplex NumbersMCQ+4 / −1

If

S = \left\{ {z \in C:{{z - i} \over {z + 2i}} \in R} \right\}

, then :

A
S contains exactly two elements
B
S contains only one element
C
S is a circle in the complex plane
D
S is a straight line in the complex plane

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