JEE Main 2012 — Binomial Theorem Question with Solution
JEE Main 2012 (26 May Online)
Question
The middle term in the expansion of in powers of is
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Given expansion can be re-written as
Total number of terms will be which is odd ( is always even)
Middle term th
Now,
So,
Middle term is an odd term. So, will be odd.
So, will be even.
Required answer is .
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This is a previous-year question from JEE Main 2012, 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.