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

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Saturday, 31 October

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JEE Main 2024 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 27 January 2024, Shift 1, Maths Q3

Question 3 of 90 in this shift, Maths question 3 of 30, Section A.

S=\{z\in\mathbf{C}: |z-i|=|z+i|=|z-1|\}

, then, n(S) is :

(1) $0$
(2) $1$ Official answer
(3) $2$
(4) $3$

Official answer

Option 2

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.