JEE Main 2018MathematicsBinomial TheoremMediumMCQ

JEE Main 2018 — Binomial Theorem Question with Solution

JEE Main 2018 (08 Apr)

Question

The sum of the co-efficient of all odd degree terms in the expansion of x+x3-15+x-x3-15, x>1 is

Choose an option

Show full solutionCorrect option: A
Correct answer
A2

Step-by-step explanation

x+x3-15+x-x3-15, (x>1)

fx=2x5+ 5C2x3x3-1+ 5C4xx3-12

Sum of coefficients of odd power of x

=f1-f-12
f1=2

f-1=2-1+ 5C2×2- 5C4×4

f-1=2-1+20-20=-2

⇒f1-f-12=2--22=2

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About this question

This is a previous-year question from JEE Main 2018, 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.