JEE Main 2017MathematicsBinomial TheoremHardMCQ

JEE Main 2017 — Binomial Theorem Question with Solution

JEE Main 2017 (09 Apr Online)

Question

The coefficient of x-5 in the binomial expansion of x+1x23-x13+1 -x-1x-x1210 where x≠0,1 is

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Show full solutionCorrect option: C
Correct answer
C1

Step-by-step explanation

x13+1 x23-x13+1x23-x13+1-x-1 x+1x x-110

=x13+1-1-1x1210 =x13-x-1210

tr+1=10Crx1310-rx−12r ( −1 ) r

tr+1=10Crx103-5r6-1r

∵ 103-5r6=-5

5r6=506  ⇒r=10

Hence, 10C10-110=1 

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About this question

This is a previous-year question from JEE Main 2017, 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.