JEE Main 2024MathematicsBinomial TheoremEasyMCQ

JEE Main 2024 — Binomial Theorem Question with Solution

JEE Main 2024 (01 Feb Shift 2)

Question

Let m and n be the coefficients of seventh and thirteenth terms respectively in the expansion of 13x13+12x2318. Then nm13 is:

Choose an option

Show full solutionCorrect option: D
Correct answer
D94

Step-by-step explanation

Given expansion is 13x13+12x2318.

⇒T7=C61813x131212x236

⇒m=C6181312126

⇒T13=C121813x13612x2312

⇒n=C12181361212

⇒mn=C6181312126C12181361212

⇒mn=136126

⇒mn=236

⇒mn13=49

⇒nm13=94

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About this question

This is a previous-year question from JEE Main 2024, 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.