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Saturday, 31 October

JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 30 June 2022, Shift 1, Maths Q22

Question 22 of 90 in this shift, Maths question 22 of 30, Section B.

Let for f(x)=a0x2+a1x+a2f(x) = a_0x^2 + a_1x + a_2, f′(0)=1f'(0) = 1 and f′(1)=0f'(1) = 0. If a0,a1,a2a_0, a_1, a_2 are in an arithmatico-geometric progression, whose corresponding A.P. has common difference 1 and corresponding G.P. has common ratio 2, then f(4)f(4) is equal to __________.

Official answer

2

NTA final key.

Idea tested
AGP General Term

Same idea in other shifts

Asked 2× in all
  1. 10 Apr 2023, Shift 2 · Q24Suppose a1,a2,2,a3,a4a_1, a_2, 2, a_3, a_4 be in an arithmetico-geometric progression. If the common ratio of the corresponding geometric progression…MediumNumerical value

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.