JEE Main 2019 — Binomial Theorem Question with Solution
From: JEE Main 2019 (Online) 8th April Morning Slot
Question
The sum of the co-efficients of all even
degree terms in x in the expansion of
+ , (x > 1) is equal to:
+ , (x > 1) is equal to:
Choose an option
Show full solutionCorrect option: D
Correct answer
D24
Step-by-step explanation
Let = Odd trems(A) + Even terms(B)
So = Odd terms(A) - Even terms(B)
= (A + B) + (A - B)
= 2A
= 2[odd terms]
= 2[ T1 + T3 + T5 + ....... ]
So in case of
+
= 2[ T1 + T3 + T5 + T5 ]
= 2[
]
= 2[ ]
= 2[
]
Sum of coefficient of all even degree terms
= 2[ 1 - 15 + 15 + 15 - 3 - 1 ] = 24
So = Odd terms(A) - Even terms(B)
= (A + B) + (A - B)
= 2A
= 2[odd terms]
= 2[ T1 + T3 + T5 + ....... ]
So in case of
+
= 2[ T1 + T3 + T5 + T5 ]
= 2[
]
= 2[ ]
= 2[
]
Sum of coefficient of all even degree terms
= 2[ 1 - 15 + 15 + 15 - 3 - 1 ] = 24
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Binomial Theorem chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
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.