JEE Main 2019 — Binomial Theorem Question with Solution
From: JEE Main 2019 (Online) 12th April Evening Slot
Question
The term independent of x in the expansion of
is equal to :
is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C- 36
Step-by-step explanation
Given expression =
=
So its general term is
Tr + 1 =
= .....(i)
For this term to be independent of x, put r = 3 in 1st part and r = 5 in 2nd part.
So from (i) the term independent of
x =
= -72 + 36 = -36
=
So its general term is
Tr + 1 =
= .....(i)
For this term to be independent of x, put r = 3 in 1st part and r = 5 in 2nd part.
So from (i) the term independent of
x =
= -72 + 36 = -36
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This is a previous-year question from JEE Main 2019, 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.