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Saturday, 31 October

JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 28 July 2022, Shift 2, Maths Q81

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

Let the coefficients of the middle terms in the expansion of (16+βx)4, (1−3βx)2\left(\frac{1}{\sqrt{6}}+\beta x\right)^4,\ (1-3\beta x)^2 and (1−β2x)6, β>0\left(1-\frac{\beta}{2}x\right)^6,\ \beta>0, respectively form the first three terms of an A.P. If d is the common difference of this A.P. , then 50−2dβ250-\frac{2d}{\beta^2} is equal to __________.

Official answer

57

NTA final key.

Chapter
Binomial Theorem
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

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.