JEE Main 2021MathematicsBinomial TheoremProblems Based On Binomial Co Efficient And Collection Of Binomial Co EfficienteasyMCQ

JEE Main 2021 — Binomial Theorem Question with Solution

From: JEE Main 2021 (Online) 16th March Morning Shift

Question

Let [ x ] denote greatest integer less than or equal to x. If for nN,

,

then is equal to :

Choose an option

Show full solutionCorrect option: C
Correct answer
C2

Step-by-step explanation





Put x = 1

...... (1)

Put x = 1

..... (2)

Add (1) + (2)



Sub (1) (2)



Now,



+ 1

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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.