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If R be a relation from A = {1,2,3,4} ...

If R be a relation from `A = {1,2,3,4} ` to `B= {1,3,5} i.e., (a,b) in R hArr a lt b,` then Ro `R ^(-1)` is

A

`{(1,3), (1,5), (2,3), (2,5), (3,5),(4,5)} `

B

`{(3,1),(5,1),(3,2), (5,2), (5,3), (5,4)}`

C

`{(3,3), (3,5),(5,3), (5,5)}`

D

`{(3,3), (3,4),(4,5)} `

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If R be a relation lt from A={1,2,3,4}" to "B={1,3,5} , i.e. (a,b)inR iff altb , then R o R^(-1) is

    A
    `{(1,3),(1,5),(2,3),(2,5),(3,5),(4,5)}`
    B
    `{(3,1),(5,1),(3,2),(5,2),(5,3),(5,4)}`
    C
    `{(3,3),(3,5),(5,3),(5,5)}`
    D
    `{(3,3),(3,4),(4,5)}`

  • If A is the relation “less than” from A = {1,2, 3,4, 6, 7} to B = {1, 4, 5}, then R^(-1) equals

    A
    {(4, 1), (5, 1), (2, 5), (1, 4), (1, 5)}
    B
    {(4, 1), (5, 1), (4, 2), (5, 2), (4, 3), (5, 3)}
    C
    {(4, 1), (5, 1), (4, 2), (5, 2), (4, 3), (5, 3), (5, 4)}
    D
    None of thes

  • If R = {(a,b) : a+b=4} is a relation on {1,2,3} , then R is

    A
    reflexive
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    function
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