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If A={1,2,3}, B={1,2} and C={1,2} , whic...

If A={1,2,3}, B={1,2} and C={1,2} , which one of the following is correct ?

A

`(A xx B) nn (BxxA) = (Axx C) nn (B xxC)`

B

`(AxxB) uu (BxxA)=(AxxB)uu(BxxC)`

C

`(AxxB)nn(BxxA)=(CxxA)nn (CxxB)`

D

`(AxxB) uu (Bxx A) =(AxxB) uu (AxxC)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If A= {1,2,3} ,B= {1,2) and ={1,2} which one of the following is correct ?

    A
    `(Axx B ) nn (B xx A) = (A xx C ) nn (B xx C)`
    B
    `(A xx B ) uu (B xx A ) = (A xx B ) uu (B xx C )`
    C
    `(A xx B ) nn (B xx A) = (C xx A) nn (C xx B)`
    D
    `(A xx B) uu (B xx A) = (A xx B) uu (A xx C )`

  • Let A = {1, 2, 3} and B={2, 3, 4} , then which of the following relation from A to B is a function from A into B

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

  • The relation R defined in A= {1,2,3} by a R b if |a^(2)-b^(2)| le 5 . Which of the following is not true?

    A
    Domain of `R={1,2,3}`
    B
    Range of R= {5}
    C
    `R^(-1)= R`
    D
    R= {(1,1),(2,2),(3,3),(2,1),(1,2),(2,3),(3,2)}

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