CBSE  /  Class 12  /  Maths  /  Relations and Functions

  • 1. 
    Let R be an equivalence relation on a finite set A having n elements. Then, the number of ordered pairs in R is

  • Less than n
  • Greater than or equal to n
  • Less than or equal to n
  • None of these

  • 2. 
    For real numbers x and y, we write xRy ⇔ x – y + √2 is an irrational number. Then, the relational R is

  • Reflexive
  • Symmetric
  • Transitive
  • None of these

  • 3. 
    Let R be a relation on the set N be defined by {(x, y) | x, y ∈ N, 2x + y = 41}. Then R is

  • Reflexive
  • Symmetric
  • Transitive
  • None of these

  • 4. 
    Which one of the following relations on R is an equivalence relation?

  • aR b ⇔ |a| = |b|
  • aR b ⇔ a ≥ b
  • aR b ⇔ a divides b
  • aR b ⇔ a < b

  • 5. 
    Let R be a relation on the set N of natural numbers denoted by nRm ⇔ n is a factor of m (i.e. n | m). Then, R is

  • Reflexive and symmetric
  • Transitive and symmetric
  • Equivalence
  • Reflexive, transitive but not symmetric
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