JEE Main 2016MathematicsBinomial TheoremHardMCQ

JEE Main 2016 — Binomial Theorem Question with Solution

JEE Main 2016 (03 Apr)

Question

If the number of terms in the expansion of 1-2x+4y2n, x, y≠0, is 28, then the sum of the coefficients of all the terms in this expansion is

Choose an option

Show full solutionCorrect option: B
Correct answer
B729

Step-by-step explanation

1-2x+4y2n

We know, if having three variables then total number of terms would be n+1n+22

⇒n+1n+22=28

∴   n+1n+2 =56

Which gives n=6 , and sum of coefficients would be 

1-2+46=36=729 .

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About this question

This is a previous-year question from JEE Main 2016, 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.