Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let
. If
and
, then 2(a + b + c) is equal to
Text Solution
Verified by ExpertsThe correct answer is:
C
Given that (a + bx + ex 2 ) 10 = 
General term
For coefficient. of x: r 2 + 2r 3 = 1
Let 
coefficient of 
a
9 -b = 2......(i)
Coefficient of 

9a 8 6 2 + 2a 9 .c = 42.......(ii)
As a, b, c
N, so by hit and trial in equation (i) & (ii) we get, a = 1, b = 2, c = 3
Hence,2(a +b +c)= 2(3 + 2 + 1)= 12
──────────────────────────────────────────────────────────────────────────────────────────
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
If , then is equal to
If a is the coefficient of in the Binomial expansion of , then is equal to
Let K be the sum of the coefficients of the odd powers of x in the expansion of . Let a be the mid…
If the coefficient of in the expansion of is equal to the coefficient of in the expansion of , …
The coefficient of in is
Let and . If denotes the greatest integer , then