JEE Main 2026 — Binomial Theorem Question with Solution
JEE Main 2026 (06 April Shift 1)
Question
If the coefficients of the middle terms in the binomial expansions of and , , are equal, then the value of is:
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
The expansion of has terms. The middle term is .
The coefficient of the middle term is .
The expansion of has terms. The middle term is .
The coefficient of the middle term is .
Equating the two coefficients:
Since , dividing by gives:
Expanding the combinations using factorials:
Substituting this back:
Answer:
The coefficient of the middle term is .
The expansion of has terms. The middle term is .
The coefficient of the middle term is .
Equating the two coefficients:
Since , dividing by gives:
Expanding the combinations using factorials:
Substituting this back:
Answer:
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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.