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Friday, 9 October

JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 24 June 2022, Shift 1, Maths Q8

Question 8 of 90 in this shift, Maths question 8 of 30, Section A.

The set of all values of k for which (tan⁡−1x)3+(cot⁡−1x)3=kπ3, x∈R(\tan^{-1}x)^3 + (\cot^{-1}x)^3 = k\pi^3,\ x \in \mathbf{R}, is the interval :
  1. (1)[132,78)\left[\frac{1}{32}, \frac{7}{8}\right)Official answer
  2. (2)(124,1316)\left(\frac{1}{24}, \frac{13}{16}\right)
  3. (3)[148,1316]\left[\frac{1}{48}, \frac{13}{16}\right]
  4. (4)[132,98)\left[\frac{1}{32}, \frac{9}{8}\right)

Official answer

Option 1

NTA final key (2022 Session 1).

Same idea in other shifts

Asked 2× in all
  1. 9 Apr 2024, Shift 2 · Q30Let the inverse trigonometric functions take principal values. The number of real solutions of the equation…MediumNumerical value

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.