1.

On R, the set of real numbers, define a relation ~ as follows: a, b in R , a ~ b if {a} = {b} Where {a} = a-[a], and [a] = greatest integer le a. Then ~ is an equivalence relation on R. Which of the following is an equivalence class containing sqrt(2)

Answer»

`{a + 1/(sqrt(2)+1), a in Q}`
`{m + 1/(sqrt(2)+1) , m in Z}`
`{(sqrt(2)a , a in Q}`
`{sqrt(2)m , m in Z}`

ANSWER :A


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