Leadership

Mathematics

Twelve Standard

Test your understanding of this lesson Relation:-

1)
The relation over the set of all straight lines in a plane such that "line \(l_{1}\) is perpendicular to the line \(l_{2}\), then Relation R is
  • reflexive
  • symmetric
  • trasitive
  • equivalenxe
2)
In the set of Integers which of following relation is not an equivalence relation?
  • xRy:if x\leq y
  • xRy :if x=y
  • xRy : if x-y is an even integer
  • xRy : x\equiv y(mod 3)
3)
Let R be the relation un the set {1,2,3,4} given by R={(2,2),(3,3),(4,4),(1,1),(3,2),(1,3)} indicates that
  • R is reflexive and symmetric but not transitive
  • R is reflexive and transitive but not symmetric
  • R is transitive and symmetric but not reflexive
  • R is an equivalence relation
4)
The relation 'is a multiple of'on the set of natural number is
  • not reflexive
  • not symmetric
  • not transitive
  • an equivalence relation
5)
Let A= {1,2,3,4} relation R = {(x,y):x divides y and x,y\(\in\) A} defined on A,then R is
  • reflexive and symmetric
  • reflexive and transitive
  • symmetric and transitive
  • equivalence relation
Hand draw

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