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The relation R defined on a set A = { 0,...

The relation R defined on a set A = { 0,-1,1,2} by xRy if |`x^(2)+y^(2)| lt=2` , then which one of the following is true?

A

`R={(0,0),(0,-1),(0,1),(-1,0),(-1,1),(1,2),(1,0)}`

B

`R^(-1)={(0,0),(0,-1),(0,1),(-1,0),(1,0)}`

C

Domain of R is `{0,-1,1,2}`

D

Range of R is `{0,-1,1}`

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Knowledge Check

  • The relation R defined on a set A={0,-1,1,2} by x Ry if |x^(2)+y^(2)|le2 then which one of the following is true?

    A
    `R={(0,0),(0,-1),(0,1),(-1,0),(-1,1),(1,2),(1,0)}`
    B
    `R^(-1)={(0,0),(0,-1),(0,1),(-1,0),(1,0)}`
    C
    Domain of R is `{0,-1,1,2}`
    D
    Range of R is `{0,-1,1}`

  • The relation R defined on a set A={0,-1,1,2} by xRy" if "|x^2+y^2| le 2 , then which one of the following is true?

    A
    `R={(0,0),(0,-1),(0,1),(-1,0),(-1,1),(1,2),(1,0)}`
    B
    `R^(-1)={(0,0),(0,-1),(0,1),(-1,0),(1,0)}`
    C
    Domain of R is `{0,-1,1,2}`
    D
    Range of R is `{0,-1,1}`

  • If f(x) = {{:(2a-x, "for",-a lt x lt a),(3x-2a ,"for", x ge a):} , then which one of the following is true?

    A
    f(x) is not differentiable at `x=a`
    B
    f(x) is discontinuous at `x=a`
    C
    f(x) is continuous for all `x "in" RR`
    D
    f(x) is differentiable for all `x ge a`

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