JEE Main 2002 — Binomial Theorem Question with Solution
From: AIEEE 2002
Question
If the sum of the coefficients in the expansion of is 4096, then the greatest coefficient in the expansion is
Choose an option
Show full solutionCorrect option: C
Correct answer
C924
Step-by-step explanation
We know, =
Remember to find sum of coefficient of binomial expansion we ave to put 1 in place of all the variable.
So put = b = 1
2n =
According to question, 2n = 4096 = 212
So =
Here n = 12 is even so formula for greatest term is
For n = 12, greatest term
Coefficient of the greatest term = = = 924
Remember to find sum of coefficient of binomial expansion we ave to put 1 in place of all the variable.
So put = b = 1
2n =
According to question, 2n = 4096 = 212
So =
Here n = 12 is even so formula for greatest term is
For n = 12, greatest term
Coefficient of the greatest term = = = 924
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This is a previous-year question from JEE Main 2002, 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.