Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If a be the AM between b and c GM’s are G 1 and G 2 , and G 1 3 + G 2 3 = k abc then value of k is -
Text Solution
Verified by ExpertsThe correct answer is:
B
b, a, c are in AP
a = 
⇒ 2a = b + c
and b, G 1 ,G 2 , c are in GP
G 1 = br, G 2 = br 2 , c = br 3 r = common ratio
⇒ G 1
3 + G 2 3 = (br) 3 + (br 2 ) 3 = b
3 r 3 + b 3 r 6
= b 3 
+ b 3 
= b 2 c + bc 2 = bc (b + c)
= 2 abc
⇒ k = 2.
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