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Q.

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

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a

aR1b⇔|a|=|b|

b

aR2b⇔a≥b

c

aR3b⇔a divides b

d

aR4b⇔a

answer is A.

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Detailed Solution

aR1b⇔|a|=|b| satisfies. Inequality operation can't be reflective, symmetricso it is not equivalence but equality is reflexive, symmetric, and transitiveso this relation is equivalence
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