Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The largest coefficient in the expansion of (4 + 3x) 25 is -
A
25 C 11 3 25 
B
25 C 11 4 25 
C
25 C 14 4 14 3 11
D
25 C 14 4 11 3 14
Text Solution
Verified by ExpertsThe correct answer is:
C
(b, c)
Let (r +1) th term is the term having greatest coefficient.
⇒ Coefficient of T r +1 ≥ Coefficient of T r
⇒ 4 25 
≥ 4 25 
⇒ 
≥ 1
⇒ 
≥ 1
⇒ 75 – 3r + 3 ≥ 4r
⇒ r ≥ 
⇒ r = 11
Hence coefficient = 25 C 11 4 25 
= 25 C 14 4 14 3 11
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