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Relations Test ...

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  • Question 1
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    Let RR be the relation on ZZ defined by R={(a,b):a,bz,abR = \{(a, b): a, b \in z, a - b is an integer}\}. Find the domain and Range of RR.

  • Question 2
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    Find x and y, if (x+3,5)=(6,2x+y)(x+3,5)=(6,2x+y).

  • Question 3
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    A relation RR is defined from {2,3,4,5}\left\{ 2,3,4,5 \right\} to {3,6,7,10}\left\{ 3,6,7,10 \right\} by:

    xRyxxRy\Leftrightarrow x is relatively prime to yy. Then, domain of RR is

  • Question 4
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    The relation RR in N×NN\times N such that (a,b)R(c,d)a+d=b+c(a,b)R(c,d)\Leftrightarrow a+d=b+c is

  • Question 5
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    Let RR be the relation over the set of all straight lines in a plane such that l1{l}_{1} RR l2l1l2{l}_{2}\Leftrightarrow {l}_{1}\bot {l}_{2}. Then, RR is

  • Question 6
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    Let RR be a relation on the set NN given by R={(a,b):a=b2,b>6}R=\left\{ \left( a,b \right) :a=b-2,b>6 \right\}. Then

  • Question 7
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    If A={a,b,c}A=\left\{ a,b,c \right\} , then the relation R={(b,c) }R=\left\{ \left( b,c \right)  \right\} on AA is

  • Question 8
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    Which of the following is not an equivalence relation on ZZ?

  • Question 9
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    If A={1,2,3},B={1,4,6,9}A=\left\{ 1,2,3 \right\} , B=\left\{ 1,4,6,9 \right\} and RR is a relation from AA to BB defined by xx is greater than yy. The range of RR is

  • Question 10
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    A relation ϕ\phi from CC to RR is defined by xϕy x=yx\phi y\Leftrightarrow \left| x \right| =y. Which one is correct?

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