JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 26 August 2021, Shift 2, Maths Q81

Question 81 of 90 in this shift, Maths question 21 of 30, Section B.

Let

\lambda\neq0

be in

\mathbf{R}

. If

\alpha

and

\beta

are the roots of the equation

x^2-x+2\lambda=0

, and

\alpha

and

\gamma

are the roots of the equation

3x^2-10x+27\lambda=0

, then

\frac{\beta\gamma}{\lambda}

is equal to __________.

Official answer

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: Quadratic Roots
Idea tested: Common Root Condition

Same idea in other shifts

Asked 5× 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.