JEE Main 2021 — Binomial Theorem Question with Solution
From: JEE Main 2021 (Online) 1st September Evening Shift
Question
If the sum of the coefficients in the expansion of (x + y)n is 4096, then the greatest coefficient in the expansion is _____________.
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Show full solutionCorrect answer: 924
Correct answer
924
Step-by-step explanation
(x + y)n 2n = 4096
210 = 1024 2
2n = 212
211 = 2048
n = 12
212 = 4096
210 = 1024 2
2n = 212
211 = 2048
n = 12
212 = 4096
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This is a previous-year question from JEE Main 2021, covering the Binomial Theorem chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.