JEE Main 2026 — Binomial Theorem Question with Solution
JEE Main 2026 (24 January Shift 1)
Question
Let up to 13 terms. If , then is equal to
Choose an option
Show full solutionCorrect option: B
Correct answer
B49
Step-by-step explanation
The general term is for to .
Multiply and divide by :
Sum of odd-indexed binomial coefficients:
So , giving .
Multiply and divide by :
Sum of odd-indexed binomial coefficients:
So , giving .
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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.