JEE Main 2012 — Binomial Theorem Question with Solution
JEE Main 2012 (12 May Online)
Question
The number of terms in the expansion of , in which powers of and are free from radical signs are
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Given expansion is The general term is
would free from radical sign if powers of and are integers.
i.e. and are integer.
is multiple of 10 .
Hence,
It is an A.P.
Thus,
Thus, the six terms of the given expansion in which and are free from radical signs.
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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.