JEE Main 2 April 2026, Shift 1, Maths Q23

Question 23 of 75 in this shift, Maths question 23 of 25, Section B.

Let

a, b, c \in \{1, 2, 3, 4\}

. If the probability, that

ax^2+2\sqrt2\,bx+c>0

for all

x \in \mathbf{R}

, is

\frac{m}{n}

\gcd(m, n)=1

, then

m+n

is equal to __________.

Official answer

NTA final key.

Chapter: Probability
Topic: Quadratic Roots
Idea tested: Always Positive Condition

Same idea in other shifts

Asked 2× in all

25 Feb 2021, Shift 1 · Q63The integer 'k', for which the inequality $x^2 - 2(3k-1)x + 8k^2 - 7 > 0$ is valid for every $x$ in R, 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 108 of the 174 JEE Main shifts held from 2017 to 2026.