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

Question

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

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

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 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.`

5 views Answered 2023-02-05 15:29