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Let L be the set of all lines in XY plan...

Let L be the set of all lines in XY plane and R be the relation in L defined as `R = {(L _(1) , L _(2)) : L _(1)` is parallel to `L _(2)}.` Show that R is an equivalence relation. Find the set of all lines related to the line `y = 2x +4.`

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The correct Answer is:
The set of all lines `y =2x +c, c in R`
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