Published by:
CGP EDU Academic Team
Published on: August 13, 2026
For natural numbers m, n if (1 – y) m (1 + y) n = 1 + a 1 y + a 2 y 2 + ..... and a 1 = a 2 = 10, then (m, n) is :
Text Solution
Verified by ExpertsThe correct answer is:
C
(1 – y) m (1 + y) n = 1 + a 1 y + a 2 y 2 +........
(1 – my + m C 2 y 2 ........) (1 + ny + n C 2 y 2 .........) = 1 + a 1 y + a 2 y 2 +........
a 1 = n – m = 10 .....
a 2 = m C 2 + n C 2 – mn = 10 .....
solving & , we get (m, n) ≡ (35, 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
Prove that 2 k – + –...... + (– 1) k = .
The coefficient of x 5 in (1 + 2x + 3x 2 +.....) –3/2 is :
The number of integral terms in the expansion of is :
If x is positive, the first negative term in the expansion of is :
The coefficient of the middle term in the binomial expansion in powers of x of (1 + α x) 4 and of (…
The coefficient of x n in the expansion of (1 + x) (1 – x) n is-