JEE Main 2024 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 6 April 2024, Shift 2, Maths Q1

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

Let

f(x)=\frac{1}{7-\sin 5x}

be a function defined on

\mathbb{R}

. Then the range of the function

f(x)

is equal to :

(1) $\left[\frac{1}{8},\frac{1}{5}\right]$
(2) $\left[\frac{1}{7},\frac{1}{5}\right]$
(3) $\left[\frac{1}{7},\frac{1}{6}\right]$
(4) $\left[\frac{1}{8},\frac{1}{6}\right]$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Relations and Functions
Topic: Functions and Domain
Idea tested: Range of a*sin(x) + b*cos(x) Forms

Same topic in other shifts

All Functions and Domain questions

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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.