Learn

Saturday, 31 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumConceptual

JEE Main 17 March 2021, Shift 2, Maths Q74

Question 74 of 90 in this shift, Maths question 14 of 30, Section A.

Let S1S_1, S2S_2 and S3S_3 be three sets defined as S1={z∈C:∣z−1∣≤2}S_1=\{z\in\mathbb{C}:|z-1|\leq\sqrt{2}\} S2={z∈C:Re((1−i)z)≥1}S_2=\{z\in\mathbb{C}:\mathrm{Re}((1-\mathrm{i})z)\geq 1\} S3={z∈C:Im(z)≤1}S_3=\{z\in\mathbb{C}:\mathrm{Im}(z)\leq 1\} Then the set S1∩S2∩S3S_1\cap S_2\cap S_3
  1. (1)has exactly two elements
  2. (2)has exactly three elements
  3. (3)is a singleton
  4. (4)has infinitely many elementsOfficial answer

Official answer

Option 4

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.