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Friday, 9 October

JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 31 January 2024, Shift 2, Maths Q24

Question 24 of 90 in this shift, Maths question 24 of 30, Section B.

Let a,b,ca, b, c be the lengths of three sides of a triangle satisfying the condition (a2+b2)x2−2b(a+c)x+(b2+c2)=0(a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0. If the set of all possible values of xx is the interval (α,β)(\alpha,\beta), then 12(α2+β2)12(\alpha^2+\beta^2) is equal to ________.

Official answer

36

NTA final key.

Chapter
Complex Numbers and Quadratic Equations
Topic
Quadratic Roots
Idea tested
Nature of Roots

Same idea in other shifts

Asked 2× in all
  1. 8 Jan 2020, Shift 1 · Q71The least positive value of 'a' for which the equation, 2x2+(a−10)x+332=2a2x^2+(a-10)x+\frac{33}{2}=2a has real roots is ______.EasyNumerical 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 42 of the 174 JEE Main shifts held from 2017 to 2026.