JEE Main 2015 — Binomial Theorem Question with Solution
From: JEE Main 2015 (Offline)
Question
The sum of coefficients of integral power of in the binomial expansion is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
=
Now we need to find out those coefficient where degree of x is integer and you can see at odd terms power of x is integer.
Let = Odd(A) - Even(B)
So = A + B
2A = +
Now to find sum of coefficient of A, put x = 1.
Sum of coefficient of A =
=
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This is a previous-year question from JEE Main 2015, 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.