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Let T be set of all triangle in the Eucl...

Let T be set of all triangle in the Euclidean plane , and let a relation R on T be defined as aRb if a is congruent to`b,AA "a",b inT` . Then, R is ....

A

Reflexive but not transitive

B

Transitive but not symmetric

C

Equivalence

D

None of these

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Consider the non-empty set consisting of children in a family and a relation R defined as aRb, if a is brother of b. Then , R is ........

    A
    Symmetric but not transitive
    B
    Transitive but not symmetric
    C
    Neither symmetric not transitive
    D
    Both symmetric and transitive

  • Let us define a relation R in R as aRb if a geb . Then, R is .......

    A
    an equivalence relation
    B
    reflexive , Transitive but not symmetric
    C
    symmetric , transitive but not reflexive
    D
    neither transitive nor reflexive but symmetric .

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