JEE Main 2024 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 31 January 2024, Shift 1, Maths Q2

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

Let S be the set of postive integral values of

a

for which

\frac{ax^2+2(a+1)x+9a+4}{x^2-8x+32}<0,\ \forall x\in\mathbb{R}

. Then, the number of elements in S is :

(1) $1$
(2) $3$
(3) $0$ Official answer
(4) $\infty$

Official answer

Option 3

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: Quadratic Roots
Idea tested: Always Negative Condition

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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.