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Let A={1,2,3,4} and R be a relation in ...

Let `A={1,2,3,4}` and R be a relation in given by `R= (1,1), (2, 2), (3. 3). (4,4), (1,2), (2,1),(3,1), (1,3)}`. Then R is

A

Reflexive

B

Symmetric

C

Equivalence

D

Reflexive and Symetric

Text Solution

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The correct Answer is:
A, B, D
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Knowledge Check

  • Let P={1, 2, 3} and a relation on set P is given by the set R={(1,2),(1,3),(2,1),(1,1),(2,2),(3,3),(2,3)}. Then R is:

    A
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    B
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    C
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    D
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    reflexive, transitive but not symmetric
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    C
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  • If A = {1, 2, 3, 4} , then a relation R= {(1, 1), (2, 2), (3, 3), (4, 4), "on" (2, 4), (1, 3), (1, 4), (1, 2)} set A is

    A
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    B
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    C
    reflexive only
    D
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