JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 11 April 2023, Shift 2, Maths Q2

Question 2 of 90 in this shift, Maths question 2 of 30, Section A.

The domain of the function

f(x) = \frac{1}{\sqrt{[x]^2 - 3[x] - 10}}

is (where

[x]

denotes the greatest integer less than or equal to

x

)

(1) $(-\infty, -2) \cup [6, \infty)$ Official answer
(2) $(-\infty, -3] \cup [6, \infty)$
(3) $(-\infty, -2) \cup (5, \infty)$
(4) $(-\infty, -3] \cup (5, \infty)$

Official answer

Option 1

NTA final key.

Chapter: Relations and Functions
Topic: Functions and Domain
Idea tested: Domain Constraints of Greatest Integer Function

Same idea in other shifts

Asked 3× in all

6 Apr 2023, Shift 2 · Q1[English stem not rendered in the PDF; reconstructed from the Hindi copy] Let the function $f(x)=\frac{1}{\sqrt{\lceil x\rceil-x}}$ , where…MediumTwo statements
22 Jul 2021, Shift 2 · Q79Let $[x]$ denote the greatest integer less than or equal to $x$ . Then, the values of $x\in\mathbf{R}$ satisfying the equation…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 108 of the 174 JEE Main shifts held from 2017 to 2026.