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If a, b, c are in G.P. (a, b, c epsilon ...

If `a, b, c` are in `G.P. (a, b, c epsilon R')` then `(1)/(1+loga), (1)/(1+logb), (1)/(1+logc)` are in

A

`A.P`

B

`G.p`

C

`H.P`

D

`A.G.P.`

Text Solution

Verified by Experts

The correct Answer is:
C
If `a, b, c` are ……….
Let `a, b, c` are in `G.P.`
Taking log of the terms
log a, log b, log c is in `A.P.`
Add 1 in the terms and take reciprocal.
.then `(1)/(1+loga), (1)/(1+logb), (1)/(1+logc)` in `H.P.`
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