JEE Main 2021 — Binomial Theorem Question with Solution
From: JEE Main 2021 (Online) 17th March Evening Shift
Question
Let the coefficients of third, fourth and fifth terms in the expansion of , be in the ratio 12 : 8 : 3. Then the term independent of x in the expansion, is equal to ___________.
Enter your answer
Show full solutionCorrect answer: 3.75
Correct answer
3.75
Step-by-step explanation
, ,
Now,
.......... (i)
and
........ (ii)
by (i) and (ii)
for term independent of 'x'
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Binomial Theorem chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
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.