JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 26 August 2021, Shift 1, Maths Q83

Question 83 of 90 in this shift, Maths question 23 of 30, Section B.

The sum of all integral values of k (k

\neq

0) for which the equation

\frac{2}{x-1}-\frac{1}{x-2}=\frac{2}{k}

x

has no real roots, is __________.

Official answer

NTA final key.

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

Same idea in other shifts

Asked 9× in all

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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.