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Let A={1,2,3}and Let R={(1,1),(2,2),(...

Let `A={1,2,3}and Let R={(1,1),(2,2),(3,3),(1,3),(3,2),(1,2)}` then R is

A

Reflexive and symmetric but transitive

B

Reflexive and transitive but not symmetric

C

symmetric and transitive but not reflexive

D

An equivalence relation

Text Solution

Verified by Experts

The correct Answer is:
B
R is reflexive and transitive but not symmetric .
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Knowledge Check

  • Let A={1,2,3} and Let R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}. then ,R is

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    Reflexive and symmetric but transitive
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    An equivalence relation

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    A
    Reflexive and symmetric but transitive
    B
    symmetric and transitive but not reflexive
    C
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    An equivalence relation

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    A
    Reflexive and symmetric but transitive
    B
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    C
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