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If x >1,y >1,z >1 are in GP, then 1/(1+1...

If `x >1,y >1,z >1` are in GP, then `1/(1+1nx),1/(1+1ny),1/(1+1nz)` are in (1998, 2M) AP (b) HP (c) GP (d) none of these

A

AP

B

GP

C

HP

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`:.x,y,z`are in GP `" " " "[x,y,zgt1]`
`:.1nx,1ny,1nz` are in AP.
and `2x,4x,6x` are also in AP. `" " " "[xgt1]`
By property,
`2x+1nx,4x+1ny,6x+1nz` are also in AP.
`(1)/(2x+1nx),(1)/(4x+1ny),(1)/(6x+1nz)` are in HP.
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