CBSE  /  Class 12  /  Maths  /  Relations and Functions

  • 1. 
    Let f: A → B and g : B → C be the bijective functions. Then (g o f)

  • f o g
  • f o g

  • 2. 
    Let f: R – {\(\frac{3}{5}\)} → R be defined by f(x) = \(\frac{3x+2}{5x-3}\) then

  • f
  • f

  • 3. 
    Let f: [0, 1| → [0, 1| be defined by

  • Constant
  • 1 + x
  • x
  • None of these

  • 4. 
    Let f: |2, ∞) → R be the function defined by f(x) – x² – 4x + 5, then the range of f is

  • R
  • [1, ∞)
  • [4, ∞)
  • [5, ∞)

  • 5. 
    Let f: N → R be the function defined by f(x) = \(\frac{2x-1}{2}\) and g: Q → R be another function defined by g (x) = x + 2. Then (g 0 f) \(\frac{3}{2}\) is

  • 1
  • 0
  • \(\frac{7}{2}\)
  • None of these

  • 6. 
    Let f: R → R be defined by then f(- 1) + f (2) + f (4) is

  • 9
  • 14
  • 5
  • None of these

  • 7. 
    Let f : R → R be given by f (,v) = tan x. Then f

  • \(\frac{π}{4}\)
  • {nπ + \(\frac{π}{4}\) : n ∈ Z}
  • does not exist
  • None of these

  • 8. 
    The relation R is defined on the set of natural numbers as {(a, b): a = 2b}. Then, R is given by

  • {(2, 1), (4, 2), (6, 3),….}
  • {(1, 2), (2, 4), (3, 6),….}
  • R is not defined
  • None of these

  • 9. 
    The relation R = {(1,1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is

  • Reflexive but not symmetric
  • Reflexive but not transitive
  • Symmetric and transitive
  • Neither symmetric nor transitive

  • 10. 
    Let P = {(x, y) | x² + y² = 1, x, y ∈ R]. Then, P is

  • Reflexive
  • Symmetric
  • Transitive
  • Anti-symmetric
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