JEE Main 2026 · MathsNumerical answerNumerical valueMediumMulti-step

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 topic in other shifts

All Quadratic Roots 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.