"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.

Draw a line l. Take any point A outside the line. Draw a line through A, parallel to line l.

Draw a line l. Construct a line m parallel to line l at a distance of 4 cm.

The point (2,1) is translated parallel to the line L: x-y=4 by 2sqrt(3) units. If the new point Q lies in the third quadrant, then the equation of the line passing through Q and perpendicular to L is

The point (2,1) is translated parallel to the line L: x-y=4 by 2sqrt(3) units. If the new point Q lies in the third quadrant, then the equation of the line passing through Q and perpendicular to L is

Draw a line ldot Take a point A , not lying on ldot Draw a line m such that m\ _|_l and passing through Adot (Using (i) ruler and a set-square (ii) ruler and compasses)

Graph the line passing through the point P and having slope m. P=(2,4),m=-3

Graph the line passing through the point P and having slope m. P=(-1,3),m=0

Graph the line passing through the point P and having slope m. P=(1,2),m=2

A point P is its own image under the reflection in a line l. Describe the position of the point P with respect to the line l.

In the figure, find the value of x for which the lines l and m are parallel.