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The ordered pair (5,2) belongs to the ...

The ordered pair `(5,2) ` belongs to the relation
`R={(x,y):y=x-5,x,y in Z}`

Text Solution

Verified by Experts

The correct Answer is:
False
We have, `R={(x,y):y=x-5,x,y in Z}`
If x=5, then y=5-5=0
Hence , (5,2) does not belong to R.
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Knowledge Check

  • The domain of relation R = {(x,y) : x^(2) + y^(2) = 16, x, y in Z } is

    A
    {0, 1, 2, 3,4 }
    B
    { - 4,-3,-2,-1}
    C
    {-4,-3,-2,-1,0,1,2,3,4}
    D
    {0,4,-4}

  • If A={1,2,3,4,5} , then find the domain in the relation from A to A by R={(x,y):y=2x-1} .

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

  • If A = {x, y, z}, then the relation R={(x,x),(y,y),(z,z),(z,x),(z,y)} , is

    A
    symmetric
    B
    antisymmetric
    C
    transitive
    D
    both (a) and (b)

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