CBSE  /  Class 12  /  Maths  /  Relations and Functions

  • 1. 
    If A, B and C are three sets such that A ∩ B = A ∩ C and A ∪ B = A ∪ C. then

  • A = B
  • A = C
  • B = C
  • A ∩ B = d

  • 2. 
    Let A = {1, 2}, how many binary operations can be defined on this set?

  • 8
  • 10
  • 16
  • 20

  • 3. 
    Let A = {1, 2, 3, 4,…. n} How many bijective function f : A → B can be defined?

  • \(\frac{1}{2}\)n

  • 4. 
    If A = (1, 2, 3}, B = {6, 7, 8} is a function such that f(x) = x + 5 then what type of a function is f?

  • Many-one onto
  • Constant function
  • one-one onto
  • into

  • 5. 
    Let function R → R is defined as f(x) = 2x³ – 1, then ‘f’ is

  • 2x³ + 1
  • (2x)³ + 1
  • (1 – 2x)³
  • (\(\frac{1+x}{2}\))

  • 6. 
    Let the functioin ‘f’ be defined by f (x) = 5x² + 2 ∀ x ∈ R, then ‘f’ is

  • onto function
  • one-one, onto function
  • one-one, into function
  • many-one into function

  • 7. 
    A relation R in human being defined as, R = {{a, b) : a, b ∈ human beings : a loves A} is-

  • reflexive
  • symmetric and transitive
  • equivalence
  • None of these

  • 8. 
    If f(x) + 2f (1 – x) = x² + 2 ∀ x ∈ R, then f(x) =

  • x² – 2
  • 1
  • \(\frac{1}{3}\) (x – 2)²
  • None of these

  • 9. 
    The period of sin² θ is

  • π²
  • π
  • 2π
  • \(\frac{π}{2}\)

  • 10. 
    The domain of sin-1 (log (x/3)] is. . (a) [1, 9]

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