Mathematics · Complex Numbers

JEE Main 2024 — 27 January, Shift 1 — Question 11

If $S=\{z \in C:|z-i|=|z+i|=|z-1|\}$ , then, $n(S)$ is:

Answer: A

$|z-i|=|z+i|=|z-1|$

ABC is a triangle.

Hence its circum-centre will be the only point whose distance from $\mathrm{A}, \mathrm{B}, \mathrm{C}$ will be same.

So $\mathrm{n}(\mathrm{S})=1$

Answer key and solution verified before publishing.

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