Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If A = 1 + r a + r 2a + r 3a + …. ∞ and B = 1 + r b + r 2b + r 3b + …. ∞ , then 
is equal to -
A
log B A
B
log 1–B (1 – A)
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
C
A = 
⇒ 1 – r a = 
⇒ r a = 1 – 
= 
B = 
⇒ 1 – r b = 
⇒ r b = 1 – 
= 
∴ a log r = log 
and b log r = log 
∴ 
= 
= 
.
Hence is the correct answer.
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