JEE Main 2026 — Binomial Theorem Question with Solution
JEE Main 2026 (21 January Shift 2)
Question
If , then is equal to .
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Show full solutionCorrect answer: 32
Correct answer
32
Step-by-step explanation
The general term of the product is for .
Using the formula , we have and .
Substituting these into :
.
The product is .
The denominator of the product is .
Comparing this with the given expression , we get:
.
We need to find the value of :
.
Using the formula , we have and .
Substituting these into :
.
The product is .
The denominator of the product is .
Comparing this with the given expression , we get:
.
We need to find the value of :
.
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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.