Published by:
CGP EDU Academic Team
Published on: August 14, 2026
For the natural numbers m, n, if (1 − y) m (1 + y) n = 1 + a 1 y + a 2 y 2 +….+a m+n y m+n and a 1 = a 2 = 10, then the value of (m + n) is equal to:
Text Solution
Verified by ExpertsThe correct answer is:
D
(1 − y) m (1 + y) n
Coefficient of y(a 1 ) = 1. n C 1 + m C 1 (−1)
= n − m = 10 …… (1)
Coefficient of y 2 (a 2 ) = 1. n C 2 − m C 1 ⋅ n C 1 .+1. m C 2 = 10
m 2 + n 2 − 2mn − (n + m) = 20
(n − m) 2 − (n + m) = 20
n + m = 80....(2)
By equation (1) & (2) m = 35, n = 45
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The value of is:
If is a positive integer, then the sum of the series is:
The maximum value of the term independent of in the expansion of where is:
If is the number of irrational terms in theexpansion of , then is divisible by:
Let denote greatest integer less than orequal to . If for
then is equal to:
If the fourth term in the expansion of is then the value of where is equal to