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Question

If 1abc+loga,1abc+logb and 1abc+logc, are in H.P, where a,b,cR+, then a,b and c are in

A
A.P.
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B
G.P.
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C
H.P.
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D
None of these
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Solution

The correct option is B G.P.
1abc+loga,1abc+logb,1abc+logc are in H.P.
abc+loga,abc+logb,abc+logc are in A.P.
2(abc+logb)=(abc+loga)+(abc+logc)
2logb=loga+logc
logb2=logacb2=ac

Hence a,b and c are in G.P.

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