JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 September 2020, Shift 1, Maths Q56

Question 56 of 75 in this shift, Maths question 6 of 25.

Let

\alpha

and

\beta

be the roots of

x^2 - 3x + p = 0

and

\gamma

and

\delta

be the roots of

x^2 - 6x + q = 0

. If

\alpha, \beta, \gamma, \delta

form a geometric progression. Then ratio

(2q+p) : (2q-p)

is :

(1)33 : 31
(2)9 : 7Official answer
(3)5 : 3
(4)3 : 1

Official answer

Option 2

NTA final key (Sep 2020).

Chapter: Complex Numbers and Quadratic Equations
Topic: Quadratic Roots
Idea tested: Root-Coefficient Relation

Same idea in other shifts

Asked 15× in all

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3 Apr 2025, Shift 2 · Q4Let the equation $x(x + 2)(12 - k) = 2$ have equal roots. Then the distance of the point $\left(k, \frac{k}{2}\right)$ from the line…EasySingle correct
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1 Feb 2024, Shift 2 · Q4Let $\alpha$ and $\beta$ be the roots of the equation $px^2+qx-r=0$ , where $p\neq 0$ . If $p$ , $q$ and $r$ be the consecutive terms of a…MediumSingle correct

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.