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Friday, 9 October

JEE Main Maths · Relations and Functions

Intersection of Domains

Intersection of Domains (Relations and Functions) was asked 2 times in 2 JEE Main shifts, 2021–2024, out of the 42 shifts Lumi analysed.

Times asked
2
in 2 shifts
Years
2021–2024
Usual format
Single correct
Application
Pattern
Occasional
repeats across shifts

How it is asked

  • Domain of sum of log and inverse trig
  • Common domain of sum, difference, quotient

Difficulty

Easy 1Medium 1Hard 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. 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