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Mukund Bhai Bail
Asked: 2022-11-05T18:31:38+05:30 In:

The relation `R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}` on a set A={1, 2, 3} is
A. reflexive but not symmetric
B. reflexive but not transitive
C. symmetric and transitive
D. Neither symmetric nor transitive

The relation `R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}` on a set A={1, 2, 3} is
A. reflexive but not symmetric
B. reflexive but not transitive
C. symmetric and transitive
D. Neither symmetric nor transitive
Parabola
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  1. Correct Answer – A

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Madhavi Kapadia
Asked: 2022-11-04T14:23:09+05:30 In:

The relation `R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}` on a set A={1, 2, 3} is
A. reflexive, transitive but not symmetric
B. reflexive, symmetric but not transitive
C. symmetric, transitive but not reflexive
D. reflexive but neither symmetic nor transitive

The relation `R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}` on a set A={1, 2, 3} is
A. reflexive, transitive but not symmetric
B. reflexive, symmetric but not transitive
C. symmetric, transitive but not reflexive
D. reflexive but neither symmetic nor transitive
Parabola
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Leave an answer

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1 Answer

  1. Correct Answer – A
    Let R={(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}
    Reflexive
    Since, IR 1, 2R2, 3R3 in the set R
    `therefore` R is reflexive relation.
    Symmetric
    Since 1R2 but 2 is not related to 1 in R
    `therefore` R is not symmetric relation.
    Transitive
    1R2, 2R3 implies 1R3
    `therefore` R is not transitive relation.
    Hence, R is reflexive and transitive only.

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