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Friday, 9 October

JEE Main Maths · Relations and Functions

Inverse Trig Function Domain

Inverse Trig Function Domain (Relations and Functions) was asked 2 times in 2 JEE Main shifts, 2025, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked
2
in 2 shifts
Years
2025
Usual format
Numerical value
Multi-step
Pattern
New since 2024
repeats across shifts

How it is asked

  • Domain endpoints of inverse trig and log
  • Domain of log plus inverse trig function

Difficulty

Easy 0Medium 2Hard 0

Where it sits

Chapter: Relations and Functions. Topic: Functions and Domain, 16 questions over 13 ideas.

Other repeat ideas in this topic

Every time it came

All 2 questions

Newest first, each with its options and official answer.

  1. 3 Apr 2025, Shift 1 · Q2If the domain of the function f(x)=log⁡e(2x−35+4x)+sin⁡−1(4+3x2−x)f(x) = \log_e\left(\frac{2x-3}{5+4x}\right) + \sin^{-1}\left(\frac{4+3x}{2-x}\right) is [α,β)[\alpha, \beta),…MediumSingle correct
  2. 8 Apr 2025, Shift 2 · Q21Let the domain of the function f(x)=cos⁡−1(4x+53x−7)f(x) = \cos^{-1}\left(\frac{4x+5}{3x-7}\right) be [α,β][\alpha, \beta] and the domain of…MediumNumerical value