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Which one of the following relations on R is an equivalence relation?

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in Sets, Relations and Functions by (93.6k points)
Which one of the following relations on R is an equivalence relation?
A. `a R_(1) b hArr |a|=|b|`
B. `a R_(2) b hArr a ge b`
C. `a R_(3) b hArr a" divides " b`
D. `a R_(4) b hArr a lt b`
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1 Answer

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Correct Answer - A
`aR_(1)b hArr |a|=|b|` satisfies.
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