Self Studies

Relations and F...

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  • Question 1
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    Let R be the relation on N defined as x R y if x + 2 y = 8. The domain of R is

     

  • Question 2
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    If n  ≥ 2, then the number of onto mappings or surjections that can be defined from {1, 2, 3, 4, ……….., n} onto {1, 2} is

     

  • Question 3
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    A relation R in a set A is called symmetric, if

     

  • Question 4
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    The range of   is  

     

  • Question 5
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    The function  f(x) = sin  x2  is

     

  • Question 6
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    Which of the following is not an equivalence relation on I, the set of integers ; x, y

     

  • Question 7
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    If A = {1, 2, 3}, then the relation R = {(1, 2), (2, 3), (1, 3) in A is

     

  • Question 8
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    A relation R in a set A is called transitive, if

     

  • Question 9
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    The range of the function f(x) =|x −1| is

     

  • Question 10
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    The range of the function   is

     

  • Question 11
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    Let A = {a, b, c} and R = {(a, a), (b, b), (c, c), (b, c)} be a relation on A. Here, R is

     

  • Question 12
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    A relation R from C to R is defined by x Ry iff |x| = y. Which of the following is correct?

     

  • Question 13
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    A relation R in a set A is said to be an equivalence relation if

     

  • Question 14
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    Let f: R →R be a mapping such that f(x) = . Then f is

     

  • Question 15
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    Which of the following is a polynomial function?

     

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