JEE Main 2026 — Binomial Theorem Question with Solution
JEE Main 2026 (23 January Shift 1)
Question
The sum of all possible values of , so that the coefficients of and in the expansion of , are in arithmetic progression is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D9
Step-by-step explanation
. Multiply with :
Coefficient of : .
Coefficient of : .
Coefficient of : .
For AP: .
Simplifying: .
.
Sum .
Coefficient of : .
Coefficient of : .
Coefficient of : .
For AP: .
Simplifying: .
.
Sum .
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This is a previous-year question from JEE Main 2026, 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.