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If x,y,z are in G.P. (x,y,z gt 1) , then...

If `x,y,z` are in `G.P. (x,y,z gt 1)` , then `(1)/(2x+log_(e)x)`, `(1)/(4x+log_(e)y)`, `(1)/(6x+log_(ez)z)` are in

A

`A.P.`

B

`G.P.`

C

`H.P.`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` As `x,y,z` are in `G.P.`
`impliese^(2x)x,e^(4x)y,e^(6x)z` are in `G.P.`
`implieslog_(e)(e^(2x)x),log_(e)(e^(4x)y),log_(e)(e^(6x)z)` are in `A.P.`
`implies(1)/(2x+log_(e)x),(1)/(4x+log_(e)y),(1)/(6x+log_(e)z)` are in `H.P.`
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