If $S=\{z \in C:|z-i|=|z+i|=|z-1|\}$, then, $n(S)$ is : [JEE Main 2024, 27 Jan (Shift 1)]

Question

YESPYQ · Accepted Answer

Correct answer: c) 1. $|z-i|=|z+i|=|z-1|$ $ABC$ is a triangle. Hence, its circum-centre will be the only point whose distance from $A,B,C$ will be same. So, $n(S)=1$

If \(S=\{z \in C:|z-i|=|z+i|=|z-1|\}\), then, \(n(S)\) is : [JEE Main 2024, 27 Jan (Shift 1)]

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