Learn

Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 28 July 2022, Shift 2, Maths Q61

Question 61 of 90 in this shift, Maths question 1 of 30, Section A.

Let S={x∈[−6,3]−{−2,2}:∣x+3∣−1∣x∣−2≥0}S=\left\{x\in[-6,3]-\{-2,2\}:\frac{|x+3|-1}{|x|-2}\geq 0\right\} and T={x∈Z:x2−7∣x∣+9≤0}T=\left\{x\in\mathbb{Z}:x^2-7|x|+9\leq 0\right\}. Then the number of elements in S∩\capT is :
  1. (1)7
  2. (2)5
  3. (3)4
  4. (4)3Official answer

Official answer

Option 4

NTA final key.

Chapter
Relations and Functions
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.