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Friday, 9 October

JEE Main Maths · Relations and Functions

Domain via Logarithmic Inequalities

Domain via Logarithmic Inequalities (Relations and Functions) was asked 2 times in 2 JEE Main shifts, 2023–2026, out of the 42 shifts Lumi analysed. 2 of the 2 had a numerical answer.

Times asked
2
in 2 shifts
Years
2023–2026
Usual format
Numerical value
Multi-step
Pattern
Occasional
repeats across shifts

How it is asked

  • Domain endpoints of log-modulus function
  • Domain of log plus inverse trig with rational arguments

Difficulty

Easy 0Medium 0Hard 2

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. 2 Apr 2026, Shift 1 · Q21If the domain of the function f(x)=log⁡(0.6)(∣2x−5x2−4∣)f(x)=\sqrt{\log_{(0.6)}\left(\left|\frac{2x-5}{x^2-4}\right|\right)} is…HardNumerical value
  2. 8 Apr 2023, Shift 2 · Q21If domain of the function log⁡e(6x2+5x+12x−1)+cos⁡−1(2x2−3x+43x−5)\log_e\left(\frac{6x^2 + 5x + 1}{2x - 1}\right) + \cos^{-1}\left(\frac{2x^2 - 3x + 4}{3x - 5}\right) is…HardNumerical value