JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 28 July 2022, Shift 1, Maths Q26

Question 26 of 90 in this shift, Maths question 26 of 30, Section B.

For

p,q\in\mathbf{R}

, consider the real valued function

f(x)=(x-p)^2-q,\ x\in\mathbf{R}

and

q>0

. Let

a_1,a_2,a_3

and

a_4

be in an arithmetic progression with mean

p

and positive common difference. If

|f(a_i)|=500

for all

i=1,2,3,4

, then the absolute difference between the roots of

f(x)=0

is __________.

Official answer

NTA final key (2022 Session 2).

Chapter: Complex Numbers and Quadratic Equations
Topic: Quadratic Roots
Idea tested: Difference of Roots

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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.