CBSE  /  Class 11  /  Maths  /  Relations and Functions

  • 1. 
    If f(x) =(3x – 2)/(2x – 3) then the value of f(f(x)) is

  • x
  • x²
  • x³
  • None of these

  • 2. 
    Let R be the set of real numbers. If f(x) = x² and g(x) = 2x + 1, then fog(x) is equal to

  • 2x + 1
  • 2x² + 1
  • (2x + 1)²
  • None of these

  • 3. 
    A relation R is defined from the set of integers to the set of real numbers as (x, y) = R if x² + y² = 16 then the domain of R is

  • (0, 4, 4)
  • (0, -4, 4)
  • (0, -4, -4)
  • None of these

  • 4. 
    The number of binary operations on the set {a, b} are

  • 2
  • 4
  • 8
  • 16

  • 5. 
    If f is an even function and g is an odd function the fog is a/an

  • Even function
  • Odd function
  • Either even or odd function
  • Neither even nor odd function

  • 6. 
    The domain of the function f(x) = 1/(x² – 3x + 2) is

  • {1, 2}
  • R
  • R – {1, 2}
  • R – {1, -2}

  • 7. 
    The domain of the function f(x) = sin-1 (tan x) is

  • -π/4 ≤ x ≤ π/4
  • nπ – π/4 ≤ x ≤ nπ + π/4
  • nπ – π/3 ≤ x ≤ nπ + π/3
  • -π/3 ≤ x ≤ π/3

  • 8. 
    Let A = {-2, -1, 0} and f(x) = 2x – 3 then the range of f is

  • {7, -5, -3}
  • {-7, 5, -3}
  • {-7, -5, 3}
  • {-7, -5, -3}

  • 9. 
    The range of the function 7-xPx-3 is

  • {1, 2, 3, 4, 5}
  • {3, 4, 5}
  • None of these
  • {1, 2, 3}

  • 10. 
    The period of the function f(x) = sin4 3x + cos4 3x is

  • π/2
  • π/3
  • π/4
  • π/6
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