यदि `2^(x)=3^(y)=6^(-z)` है तो `(1/x+1/y+1/z)` किसके बराबर हैं ?

Options

A. 0
B. 1
C. `3/2`
D. `-1/2`

Answer

A

Explanation

`2^(x)=3^(y)=6^(-z)=k`
`implies2=k^(1//x),3=k^(1//y)=6=k^(-1//z)`
`:.2xx3=6`
`k^(1//x)xxk^(1//y)=k^(-1//z)`
`1/x+1/y=-1/zimplies1/x+1/y+1/z=0`