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JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 September 2020, Shift 2, Maths Q52

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

Let

f(x)

be a quadratic polynomial such that

f(-1)+f(2)=0

. If one of the roots of

f(x)=0

is 3, then its other root lies in :

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

Official answer

Option 2

NTA final key (Sep 2020).

Chapter: Complex Numbers and Quadratic Equations
Topic: Quadratic Roots
Idea tested: Equation Formation

Same idea in other shifts

Asked 2× in all

9 Apr 2024, Shift 1 · Q2Let $\alpha,\beta$ be the roots of the equation $x^2+2\sqrt{2}\,x-1=0$ . The quadratic equation, whose roots are $\alpha^4+\beta^4$ and…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.