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JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 September 2020, Shift 1, Maths Q61

Question 61 of 75 in this shift, Maths question 11 of 25.

If

p(x)

be a polynomial of degree three that has a local maximum value 8 at

x=1

and a local minimum value 4 at

x=2

; then

p(0)

is equal to :

(1) $-12$ Official answer
(2) $-24$
(3)6
(4)12

Official answer

Option 1

NTA final key (Sep 2020).

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Determining Coefficients from Extrema

Same idea in other shifts

Asked 2× in all

7 Apr 2025, Shift 2 · Q18Let $f:\mathbf{R}\to\mathbf{R}$ be a polynomial function of degree four having extreme values at $x=4$ and $x=5$ . If…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 42 of the 174 JEE Main shifts held from 2017 to 2026.