CBSE  /  Class 12  /  Maths  /  Relations and Functions

  • 1. 
    f(x) = \(\frac{log_2(x+3)}{x^2+3x+2}\) is the domain of

  • R – {-1, -2}
  • (- 2, ∞) . (c) R- {- 1,-2, -3}

  • 2. 
    If the function f(x) = x³ + e

  • 1
  • 2
  • 3
  • 4

  • 3. 
    What type of relation is ‘less than’ in the set of real numbers?

  • only symmetric
  • only transitive
  • only reflexive
  • equivalence

  • 4. 
    If A = [1, 2, 3}, B = {5, 6, 7} and f: A → B is a function such that f(x) = x + 4 then what type of function is f?

  • into
  • one-one onto
  • many-onto
  • constant function

  • 5. 
    f: A → B will be an into function if

  • range (f) ⊂ B
  • f(a) = B
  • B ⊂ f(a)
  • f(b) ⊂ A

  • 6. 
    If f : R → R such that f(x) = 3x then what type of a function is f?

  • one-one onto
  • many one onto
  • one-one into
  • many-one into

  • 7. 
    If f: R → R such that f(x) = 3x – 4 then which of the following is f

  • \(\frac{1}{3}\) (x + 4)
  • \(\frac{1}{3}\) (x – 4)
  • 3x – 4
  • undefined

  • 8. 
    A = {1, 2, 3} which of the following function f: A → A does not have an inverse function

  • {(1, 1), (2, 2), (3, 3)}
  • {(1, 2), (2, 1), (3, 1)}
  • {(1, 3), (3, 2), (2, 1)}
  • {(1, 2), (2, 3), (3, 1)

  • 9. 
    Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as aRb if a congruent to b ∀ a, b ∈ T. Then R is

  • reflexive but-not transitive
  • transitive but not symmetric
  • equivalence
  • None of these

  • 10. 
    Consider the non-empty set consisting of children is a family and a relation R defined as aRb If a is brother of b. Then R is

  • symmetric but not transitive
  • transitive but not symmetric
  • neither symmetric nor transitive
  • both symmetric and transitive
Report Question
warning
Practice More On Relations and Functions
Quiz 1 Quiz 2 Quiz 3 Quiz 4 Quiz 5 Quiz 6
access_time
  Time