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

Let L be the set of all lines in the XY - plane and R be the relation in L defined by `R={(l_(i)l_(j))|l_(i)" is parallel to "l_(j)l_(i)AA_(i),j}`. Show that R is an equivalence relation. Find the set of all lines related to the line `y=7x+5`

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The correct Answer is:
`{y=7x+k|k in R}`
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