CBSE  /  Class 12  /  Maths  /  Relations and Functions

  • 1. 
    The maximum number of equivalence relations on the set A = {1, 2, 3} are

  • 1
  • 2
  • 3
  • 5

  • 2. 
    If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is

  • reflexive
  • transitive
  • symmetric
  • None of these

  • 3. 
    Let us define a relation R in R as aRb if a ≥ b. Then R is

  • an equivalence relation
  • reflexive, transitive but not symmetric
  • neither transitive nor reflexive but symmetric
  • symmetric, transitive but not reflexive

  • 4. 
    Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. Then R is

  • reflexive but not symmetric
  • reflexive-but not transitive. (c) symmetric and transitive

  • 5. 
    The identity element for the binary operation * defined on Q ~ {0} as

  • 1
  • 0
  • 2
  • None of these

  • 6. 
    If the set A contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from A to B is

  • 720
  • 120
  • 0
  • None of these

  • 7. 
    Let A = {1, 2,3,…. n} and B = { a, b}. Then the number of surjections from A into B is

  • P
  • 2 – 2
  • 2– 1
  • None of these

  • 8. 
    Let f : R → R be defined by f (x) = \(\frac{1}{x}\) ∀ x ∈ R. Then f is

  • one-one
  • onto
  • bijective
  • f is not defined

  • 9. 
    Which of the following functions from Z into Z are bijective?

  • f(x) = x³
  • f(x) = x + 2
  • f(x) = 2x + 1
  • f{x) = x² + 1

  • 10. 
    Let f: R → R be the function defined by f(x) = x³ + 5. Then f

  • (x + 5)
  • (x -5)
  • (5 – x)
  • 5 – x
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