Draw a line AB. Take a point P outside it. Draw a line passing through P and parallel to AB.

To construct a line parallel to a given line and passing through a given point outside the line. Question : Draw a line l, take a point P outside it. Draw a line m || line l passing through point P.

Draw a line AB. Take a point M anywhere outside the line. Using a compass and ruler, draw a line MN perpendicular to line AB.

"For every line L and for every point P not lying on a given line L, there exists a unique line m passing through P and parallel to L" is known as playfair 's axiom.

Equation of line passing through a given point and parallel to given line

Two different points P and Q are given on one side of line AB. Draw a circle passing through the points P and Q touching the line AB in point R.

Draw a line l. Take any point P on the line. Using a set square, draw a line perpendicular to the line l at the point p.

Draw a line XY. Take a point R on it. Using a set square, draw a line perpendicular to line XY at the point R.