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Friday, 9 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 24 June 2022, Shift 1, Maths Q18

Question 18 of 90 in this shift, Maths question 18 of 30, Section A. NTA dropped this question from the final key; it is left out of every count on this site.

The domain of the function f(x)=cos⁡−1(x2−5x+6x2−9)log⁡e(x2−3x+2)f(x)=\frac{\cos^{-1}\left(\frac{x^2-5x+6}{x^2-9}\right)}{\log_e(x^2-3x+2)} is :
  1. (1)(−∞,1)∪(2,∞)(-\infty, 1)\cup(2, \infty)
  2. (2)(2,∞)(2, \infty)
  3. (3)[−12,1)∪(2,∞)\left[-\frac{1}{2}, 1\right)\cup(2, \infty)
  4. (4)[−12,1)∪(2,∞)−{3+52,3−52}\left[-\frac{1}{2}, 1\right)\cup(2, \infty)-\left\{\frac{3+\sqrt{5}}{2}, \frac{3-\sqrt{5}}{2}\right\}

Official answer

Dropped by NTA (marks given to all)

NTA final key (2022 Session 1).

Chapter
Relations and Functions
Topic
Functions and Domain
Idea tested
Intersection of Domains

Same idea in other shifts

Asked 2× in all
  1. 30 Jan 2024, Shift 2 · Q1If the domain of the function f(x)=log⁡e(2x+34x2+x−3)+cos⁡−1(2x−1x+2)f(x) = \log_e\left(\frac{2x+3}{4x^2+x-3}\right) + \cos^{-1}\left(\frac{2x-1}{x+2}\right) is…MediumSingle correct
  2. 18 Mar 2021, Shift 1 · Q61If the functions are defined as f(x)=xf(x)=\sqrt{x} and g(x)=1−xg(x)=\sqrt{1-x}, then what is the common domain of the following functions :…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 42 of the 174 JEE Main shifts held from 2017 to 2026.