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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 25 June 2022, Shift 2, Maths Q1

Question 1 of 90 in this shift, Maths question 1 of 30, Section A.

Let A={x∈R:∣x+1∣<2}A = \{x \in \mathbb{R} : |x+1| < 2\} and B={x∈R:∣x−1∣≥2}B = \{x \in \mathbb{R} : |x-1| \geq 2\}. Then which one of the following statements is NOT true ?
  1. (1)A−B=(−1,1)A - B = (-1, 1)
  2. (2)B−A=R−(−3,1)B - A = \mathbb{R} - (-3, 1)Official answer
  3. (3)A∩B=(−3,−1]A \cap B = (-3, -1]
  4. (4)A∪B=R−[1,3)A \cup B = \mathbb{R} - [1, 3)

Official answer

Option 2

NTA final key.

Chapter
Relations and Functions
Topic
Sets and Relations
Idea tested
Intervals as Subsets of R

Same idea in other shifts

Asked 3× in all
  1. 27 Aug 2021, Shift 1 · Q81If A={x∈R:∣x−2∣>1}A=\{x \in \mathbf{R} : |x-2|>1\}, B={x∈R:x2−3>1}B=\left\{x \in \mathbf{R} : \sqrt{x^2-3}>1\right\}, C={x∈R:∣x−4∣≥2}C=\{x \in \mathbf{R} : |x-4|\geq 2\} and…MediumNumerical value
  2. 9 Jan 2020, Shift 2 · Q51If A={x∈R:∣x∣<2}A=\{x\in\mathbf{R}:|x|<2\} and B={x∈R:∣x−2∣≥3}B=\{x\in\mathbf{R}:|x-2|\ge 3\}; then :EasySingle correct

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.