A) \[AP\]
B) \[HP\]
C) \[GP\]
D) none of these
Correct Answer: B
Solution :
Since,\[x,\,\,\,y\] and \[z\] are in \[GP\] \[\therefore \] \[{{y}^{2}}=xz\] On taking log on both sides, we get \[2\log y=\log x+\log z\] On adding 2 on both sides, we get \[2\log y+2=\log x+1+\log z+1\] \[\Rightarrow \]\[1+\log x,\,\,1+\log y,\,\,1+\log z\]are in\[AP\]. \[\Rightarrow \]\[\frac{1}{1+\log x},\,\,\frac{1}{1+\log y},\,\,\frac{1}{1+\log z}\]are in\[HP\].You need to login to perform this action.
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