Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only.

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We have to draw figure using following steps of construction:

Step 1: Draw a line AB and take a point P on the line AB. Also, take another point C outside the line AB and join PC.

Step 2: Now, taking P as a center and with a certain radius (which should be much lesser than PC), draw an arc intersecting AB at D and PC at point E.

Step 3: Now taking C as a centre and with the same radius, draw an arc FG intersecting PC at H.

Step: 4: Adjust the compasses according to the length of DE. And with same opening, taking H as a center, draw another arc intersecting the previous arc at point I.

Step 5: Now, join CI in order to draw a line ‘l’.

This is the desired line parallel to line AB

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