Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let consider the binomial expression A = 
and
B = 
, Sum of the coefficient of expansion of B is 2048. The ratio of the coefficient of second term to third term in the expansion of A is 1: 7, m and n are positive integer.
(i) Find the value of m-
Text Solution
Verified by ExpertsThe correct answer is:
B
Ans.
(i)
Sol. 
= 
. 
= 
⇒ 
× 
× 
= 
⇒ m –1 = 7
⇒ m = 8
(ii)
Sol. 2 n = 2 11 ⇒ n = 11
(iii)
Sol. General term for A
8 C r x 8–r . 2r.x –2r 8 –3r = 2
⇒ r = 2
For B,
11 C r 
. 
⇒ 11 C r x 11–3r . 
. 
11–3r = 2
⇒ r = 3
∴ p/q = 3/4
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