JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 September 2020, Shift 2, Maths Q52

Question 52 of 75 in this shift, Maths question 2 of 25.

The set of all real values of

\lambda

for which the quadratic equations,

(\lambda^2 + 1)x^2 - 4\lambda x + 2 = 0

always have exactly one root in the interval (0, 1) is :

(1) $(-3, -1)$
(2) $(0, 2)$
(3) $(1, 3]$ Official answer
(4) $(2, 4]$

Official answer

Option 3

NTA final key (Sep 2020).

Chapter: Complex Numbers and Quadratic Equations
Topic: Location of Roots
Idea tested: Exactly one root in interval

Same topic in other shifts

All Location of 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 108 of the 174 JEE Main shifts held from 2017 to 2026.