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Friday, 9 October

JEE Main 2022 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 28 July 2022, Shift 1, Maths Q2

Question 2 of 90 in this shift, Maths question 2 of 30, Section A.

Considering only the principal values of the inverse trigonometric functions, the domain of the function f(x)=cos⁡−1(x2−4x+2x2+3)f(x)=\cos^{-1}\left(\frac{x^2-4x+2}{x^2+3}\right) is :
  1. (1)(−∞,14]\left(-\infty,\frac{1}{4}\right]
  2. (2)[−14,∞)\left[-\frac{1}{4},\infty\right)Official answer
  3. (3)(−13,∞)\left(-\frac{1}{3},\infty\right)
  4. (4)(−∞,13]\left(-\infty,\frac{1}{3}\right]

Official answer

Option 2

NTA final key (2022 Session 2).

Chapter
Inverse Trigonometric Functions
Topic
Inverse Trig Domains
Idea tested
Domain of Rational Composite Inverse Trig

Same idea in other shifts

Asked 2× in all
  1. 29 Jun 2022, Shift 1 · Q15The domain of the function cos⁡−1(2sin⁡−1(14x2−1)π)\cos^{-1}\left(\frac{2\sin^{-1}\left(\frac{1}{4x^2 - 1}\right)}{\pi}\right) is :MediumSingle 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.