JEE Main 2006 — Binomial Theorem Question with Solution
From: AIEEE 2006
Question
For natural numbers , , if and then is
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
= -
= Coefficient of y = - = 10
n - m = 10
= Coefficient of y2
=
(m + 10)(m + 9) - 2(m + 10)m + m(m - 1) = 20
90 + 19m + m2 - 2m2 - 20m + m2 - m - 20 = 0
70 - 2m = 0
m = 35
n = 10 + 35 = 45
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This is a previous-year question from JEE Main 2006, 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.