सरल करें :`(0.bar(1))^(2){1-9(0.1bar(6))^(2)}`

Options

A. `-1/162`
B. `1/108`
C. `7696/(10^(6))`
D. `1/109`

Answer

B

Explanation

According to the question
`(0.bar1)^(2){1-9(0.bar(16))^(2)}`
`=(1/9)^(2){1-9((16-1)/90)^(2)}`
`implies1/81{1-9(15/90)^(2)}`
`implies1/81(1-9/36}implies1/80xx3/4`
`implies1/108`