Draw a line parallel to a given line l at a distance of 6 cm.

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Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{Steps}: \\ 1.\mathrm{Draw}\mathrm{a}\mathrm{line}\mathrm{l}.\mathrm{Take}\mathrm{a}\mathrm{point}\mathrm{P}\mathrm{on}\mathrm{line}\mathrm{l}\mathrm{and}\mathrm{a}\mathrm{point}\mathrm{C}\mathrm{outside}\mathrm{the}\mathrm{line}\mathrm{at}\mathrm{a}\mathrm{distance}\mathrm{of}6\mathrm{cm}\mathrm{from}\mathrm{the}\mathrm{line}. \\ \mathrm{Join}\mathrm{C}\mathrm{and}\mathrm{P}. \\ 2.\mathrm{Taking}\mathrm{P}\mathrm{as}\mathrm{centre}\mathrm{with}\mathrm{a}\mathrm{convenient}\mathrm{radius},\mathrm{draw}\mathrm{an}\mathrm{arc}\mathrm{intersecting}\mathrm{line}\mathrm{l}\mathrm{at}\mathrm{point}\mathrm{D}\mathrm{and}\mathrm{PC}\mathrm{at}\mathrm{point}\mathrm{E}. \\ 3.\mathrm{Taking}\mathrm{C}\mathrm{as}\mathrm{centre}\mathrm{and}\mathrm{with}\mathrm{the}\mathrm{same}\mathrm{radius}\mathrm{as}\mathrm{before},\mathrm{draw}\mathrm{an}\mathrm{arc}\mathrm{FG}\mathrm{intersecting}\mathrm{PC}\mathrm{at}\mathrm{H}. \\ 4.\mathrm{Adjust}\mathrm{the}\mathrm{compasses}\mathrm{upto}\mathrm{the}\mathrm{length}\mathrm{of}\mathrm{DE}.\mathrm{Without}\mathrm{changing}\mathrm{the}\mathrm{opening}\mathrm{of}\mathrm{compasses}\mathrm{a} \\ \mathrm{taking}\mathrm{H}\mathrm{as}\mathrm{centre},\mathrm{draw}\mathrm{an}\mathrm{arc}\mathrm{to}\mathrm{intersect}\mathrm{the}\mathrm{previously}\mathrm{drawn}\mathrm{arc}\mathrm{FG}\mathrm{at}\mathrm{point}\mathrm{I}. \\ 5.\mathrm{Join}\mathrm{the}\mathrm{points}\mathrm{C}\mathrm{and}\mathrm{I}\mathrm{to}\mathrm{draw}\mathrm{a}\mathrm{line}\mathrm{l}\text{'}. \\ \mathrm{This}\mathrm{is}\mathrm{the}\mathrm{required}\mathrm{line}\mathrm{which}\mathrm{is}\mathrm{parallel}\mathrm{to}\mathrm{line}\mathrm{AB} \mathrm{and} \mathrm{at} \mathrm{a} \mathrm{distance} \mathrm{of} 6 \mathrm{cm}. \end{gathered}$$


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