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JEE Main 2024 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 6 April 2024, Shift 1, Maths Q2

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

The function

f(x)=\frac{x^2+2x-15}{x^2-4x+9}

,

x \in \mathbb{R}

is

(1)both one-one and onto.
(2)one-one but not onto.
(3)onto but not one-one.
(4)neither one-one nor onto.Official answer

Official answer

Option 4

NTA final key.

Chapter: Relations and Functions
Topic: Functions and Domain
Idea tested: Range of Quadratic Rational Functions

Same idea in other shifts

Asked 2× in all

8 Apr 2024, Shift 1 · Q21If the range of $f(\theta)=\frac{\sin^4\theta+3\cos^2\theta}{\sin^4\theta+\cos^2\theta}$ , $\theta\in\mathbb{R}$ is $[\alpha,\beta]$ , then…MediumNumerical value

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.