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Relations and F...

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  • Question 1
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    Let the number of elements of the sets $$A$$ and $$B$$ be $$p$$ and $$q$$ respectively. Then, the number of relations from the set $$A$$ to the set $$B$$ is

  • Question 2
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    Find the second component of an ordered pair $$(2, -3)$$

  • Question 3
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    The ______ product of two sets is the set of all possible ordered pairs whose first component is a member of the first set and whose second component is a member of the second set.

  • Question 4
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    Let R be the relation in the set N given by = {(a, b): a = b - 2, b > 6}. Choose the correct answer

  • Question 5
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    Cartesian product of sets $$A$$ and $$B$$ is denoted by _______.

  • Question 6
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    If $$A = \{1, 2, 3\}, B = \{3, 4\}$$
    find (A $$\times$$ B) $$\cup$$ (B $$\times$$ A)

  • Question 7
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    Which of the following functions is/are constant ?

  • Question 8
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    If A= {0, 1} and B ={1, 0}, then what is A x B equal to ?

  • Question 9
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    Let $$f:\mathbb{R}\rightarrow \mathbb{R}$$ be a function such that for any irrational number $$r,$$ and any real number $$x$$ we have $$f(x)=f(x+r)$$. Then, $$f$$ is

  • Question 10
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    If $$(x)={ x }^{ 2 }-2x+4$$ then the set of values of $$x$$ satisfying $$f\left( x-1 \right) =f\left( x+1 \right) $$ is

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