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Relations Test ...

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  • Question 1
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    If $$R$$ is an equivalence relation in a set $$A$$, then $$R^{-1}$$ is

  • Question 2
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    If $$\displaystyle A=\left\{ 2,4,5 \right\} ,B=\left\{ 7,8,9 \right\} $$ then $$\displaystyle n\left( A \times B \right) $$ is equal to

  • Question 3
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    If $$(3p+q,p-q)=(p-q,3p+q)$$, then:

  • Question 4
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    Let $$A = \left\{p,q,r\right\}$$. Which of the following is an equivalence relation in $$A$$?

  • Question 5
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    If $$A = \{1, 2 \}$$ and $$B = \{3, 4\}$$ then find $$A \times B$$

  • Question 6
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    If $$\displaystyle R_{n}=\left \{ x:\frac{-1}{n}< x< \frac{1}{n} \right \}$$ then $$\displaystyle R_{5}\cup R_{15}=$$ ________

  • Question 7
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    a R b if "a and b are animals in different zoological parks" then R is

  • Question 8
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    R is a relation on set A then $$\displaystyle \left [ \left ( R^{-1} \right )^{-1} \right ]^{-1}$$ is_______

  • Question 9
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    A relation which satisfies reflexive symmetric and transitive is ________ relation

  • Question 10
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    The domain of the function f(x) = $$\displaystyle \frac{\left | x \right |-2}{\left | x \right |-3}$$ is ________

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