CBSE  /  Class 12  /  Maths  /  Relations and Functions

  • 1. 
    If f(x) = f (x) ⇒ x= x∀ xx∈ A then the function f: A → B is

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

  • 2. 
    What type of a relation is R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} on the set A – {1, 2, 3, 4}

  • Reflexive
  • Transitive
  • Symmetric
  • None of these

  • 3. 
    If F : R → R such that f(x) = 5x + 4 then which of the following is equal to f

  • 4. 
    (a) \(\frac{x-5}{4}\)

  • 5. 
    If an operation is defined by a* b = a² + b², then (1 * 2) * 6 is

  • 12
  • 28
  • 61
  • None of these

  • 6. 
    Consider the binary operation * on a defined by x * y = 1 + 12x + xy, ∀ x, y ∈ Q, then 2 * 3 equals

  • 31
  • 40
  • 43
  • None of these

  • 7. 
    The range of the function f(x) = \(\sqrt{(x-1)(3-x)}\) is

  • [1, 3]
  • [0, 1]
  • [-2, 2]
  • None of these

  • 8. 
    If f: R → R defined by f(x) = 2x + 3 then f

  • 2x – 3
  • \(\frac{x-3}{2}\)
  • \(\frac{x+3}{2}\)
  • None of these

  • 9. 
    The function f(x) = log (x² + \(\sqrt{x^2+1}\) ) is

  • even function
  • odd function
  • Both
  • None of these

  • 10. 
    Let E = {1, 2, 3, 4} and F = {1, 2} Then, the number of onto functions from E to F is

  • 14
  • 16
  • 12
  • 8
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