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

Options

A. `A.P.`
B. `G.P.`
C. `H.P.`
D. none of these

Answer

C

Explanation

`(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.`