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Sets, Relations...

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  • Question 1
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    If R is a relation from a non –empty set A to a non –empty set B, then

  • Question 2
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    The range of the function f(x) = 7-x Px-3 is  

  • Question 3
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    Let R be the relation over the set of straight lines of a plane such that l1 R l2 ⇔l1 ⊥l2 . Then, R is

  • Question 4
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    The diagram given below shows that  

  • Question 5
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    Which of the following is an even function?

  • Question 6
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    The binary relation S = Φ(empty set) on set A = {1, 2, 3} is

  • Question 7
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    The void relation (a subset of A x A) on a non empty set A is:

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

  • Question 9
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    The domain of the function f = {(1, 3), (3, 5), (2, 6)} is

  • Question 10
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    The domain of the function  

  • Question 11
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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 12
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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 13
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    A relation R in a set A is called symmetric, if

  • Question 14
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    The range of   is  

  • Question 15
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    The function  f(x) = sin  x2  is

  • Question 16
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    Which of the following is not an equivalence relation on I, the set of integers ; x, y

  • Question 17
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    If A = {1, 2, 3}, then the relation R = {(1, 2), (2, 3), (1, 3) in A is

  • Question 18
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    A relation R in a set A is called transitive, if

  • Question 19
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    The range of the function f(x) =|x −1| is

  • Question 20
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    The range of the function   is

  • Question 21
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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 22
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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 23
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    A relation R in a set A is said to be an equivalence relation if

  • Question 24
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    Let f: R →R be a mapping such that f(x) = . Then f is

  • Question 25
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    Which of the following is a polynomial function?

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