Learn

Friday, 9 October

JEE Main 2021 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 18 March 2021, Shift 1, Maths Q61

Question 61 of 90 in this shift, Maths question 1 of 30, Section A.

If 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 : f+g, f−g, f/g, g/f, g−ff+g,\ f-g,\ f/g,\ g/f,\ g-f where (f±g)(x)=f(x)±g(x), (f/g)(x)=f(x)g(x)(f\pm g)(x) = f(x)\pm g(x),\ (f/g)(x) = \frac{f(x)}{g(x)}
  1. (1)0≤x<10\le x<1
  2. (2)0<x<10<x<1Official answer
  3. (3)0≤x≤10\le x\le1
  4. (4)0<x≤10<x\le1

Official answer

Option 2

NTA final key.

Chapter
Relations and Functions
Topic
Functions and Domain
Idea tested
Intersection of Domains

Same idea in other shifts

Asked 2× in all
  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

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.