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A relation R is defined on Z as : aRb...

A relation R is defined on Z as :
`aRb ` if and only if `a^2 - 7 ab + 6 b^2 = 0`
Then , R is :

A

reflexive and symmetric

B

symmetric but not reflexive

C

transitive but not reflexive

D

reflexive but not symmetric

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Knowledge Check

  • Let a relation R be defined on set of all real numbers by a R b if and only if 1 + ab gt 0 Then, R is

    A
    reflexive,transitive but not symmetric
    B
    reflexive, symmetric but not transitive
    C
    symmetric, transitive but not reflexive
    D
    an equivalence relation

  • Let a relation R be defined on set of all real numbers by a R b if and only if 1 + ab gt 0 Then, R is

    A
    reflexive,transitive but not symmetric
    B
    reflexive, symmetric but not transitive
    C
    symmetric, transitive but not reflexive
    D
    an equivalence relation

  • A relation R defined in N as aRb hArr b is divisible by a is

    A
    reflexive but not symmetric
    B
    symmetric but not transitive
    C
    symmetric and transitive
    D
    none of these