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Let X = { 1,2,3,4 } and R = { (1,1), (1,...

Let X = { 1,2,3,4 } and R = { (1,1), (1,2),(1,3),(2,2), (3,3),(2,1),(3,1),(1,4),(4,1)}. Then R is

A

reflexive

B

symmetric

C

transitive

D

equivalence

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Knowledge Check

  • Let R be the relation in the set {(1,2,3,4} given by R ={(1,2), (2,2), (1,1) (4,4),(1,3), (3,3), (3,2)}. Choose the correct answer.

    A
    R is reflexive symmetric but not transitive.
    B
    R is reflexive and transitive but not symmetric.
    C
    R is symmetric and transitive but not reflexive.
    D
    R is an equivalence relation.

  • If A=[(3,2,1),(0,4,2),(1,2,3)] and B= [(3,2,0),(4,8,0),(-1,6,2)] ,then

    A
    B=-4A
    B
    B=4A
    C
    2A
    D
    `-3A

  • Let A = [(2,-1,1),(-1,2,-1),(1,-1,2)] and 4B= [(3,1-1),(1,3,x),(-1,1,3)] . If B is the iverse of A , then the value of x is

    A
    2
    B
    4
    C
    3
    D
    1

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    If X = {1,2,3,4,5}, Y = {1,3,5,7,9} determins which of the following relations from X to Y are functions ? Give reasonfor your answer. If it is a function. State its type. (i) R_(1) = {(x,y) | y = x + 2, x in X , y in Y } (ii) R_(2) = {(1,1),(2,1),(3,3),(4,3),(5,5)} (iii) R_(3) { (1,1),(1,3),(3,5),(3,7),(5,7)} (iv) R_(4) {(1,3),(2,5),(4,7),(5,9),(3,1)}

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