JEE Main 2018 — Binomial Theorem Question with Solution
From: JEE Main 2018 (Online) 15th April Morning Slot
Question
If n is the degree of the polynomial,
and m is the coefficient of xn in it, then the ordered pair (n, m) is equal to :
and m is the coefficient of xn in it, then the ordered pair (n, m) is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C(12, (20)4)
Step-by-step explanation
Given,
+
=
+
= +
= ( + )8 + ( - )8
= 2 +
+
+
+
+
= 2
+
+
+
+
Here maximum power of x is 12
Degree of polynomial = 12
Coefficient of x12
= 2 [8C0 54 + 8C2 53 5 + 8C4 52 52 + 8C6 5 53 + 8C8 54]
= 160000 = (20)4
+
=
+
= +
= ( + )8 + ( - )8
= 2 +
+
+
+
+
= 2
+
+
+
+
Here maximum power of x is 12
Degree of polynomial = 12
Coefficient of x12
= 2 [8C0 54 + 8C2 53 5 + 8C4 52 52 + 8C6 5 53 + 8C8 54]
= 160000 = (20)4
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This is a previous-year question from JEE Main 2018, 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.