JEE Main 2014MathematicsBinomial TheoremHardMCQ

JEE Main 2014 — Binomial Theorem Question with Solution

JEE Main 2014 (09 Apr Online)

Question

The number of terms in the expansion of 1+x1011-x+x2100 in powers of x is

Choose an option

Show full solutionCorrect option: D
Correct answer
D202

Step-by-step explanation

1 + x 1 0 1 1 + x 2 - x 1 0 0

=1+x1+x1001-x+x2100

=1+x1+x3100  ∵a3+b3=a+ba2-ab+b2

1 + x 3 1 0 0  has 101 terms

1 + x 1 + x 3 1 0 0 = 1 1 + x 3 1 0 0 + x 1 + x 3 1 0 0

⇒  No. of  terms = 101+101=202

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About this question

This is a previous-year question from JEE Main 2014, 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.