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Question

If a>0, b>0, c>0 are in G.P., then logax,logbx,logcx 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 C

H.P.


a, b, c are in G.P.
b2=ac
Let logax=n
x=an
Similarly,
x=bl and
x=cm
an=bl=cm=k(say)
a=k1n b=k1l c=k1n
Substitute the values of a, b, c in b2=ac
2l=1n+1m
Hence 1n,1l,1m are in A.P. or n, l, m are in H.P.


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