Intersecting the y-axis at a distance of 2 units above the origin and making an angle of `30^(@)` with positive direction of the x-axis.

Write down a unit vector in XY - plane making an angle of 30^(@) with the positive direction of x- axis.

Intersecting the x-axis at a distance of 3 units to the left of origin with slope -2 .

Find the equation of a line through the origin which makes an angle of 45^(@) with the positive direction of x-axis.

Find the slope of the lines : Making inclination of 60^(@) with the positive direction of x- axis.

Find the slope of the line, which makes an angle of 30^(@) with the positive direction of y-axis measured anticlockwise.

A circle of radius 5 units has diameter along the angle bisector of the lines x+y=2 and x-y=2. If the chord of contact from the origin makes an angle of 45^0 with the positive direction of the x-axis, find the equation of the circle.

The Length of the perpendicular drawn from the origin to a line is 12 and makes an angle 150^@ with positive direction of the x-axis . Find the equation of the line.

Area of the formed by a line with coordinate axes is 10sqrt3 sq.units.Find equation of the line if the perpendicular drawn from the origin to the line makes an angle of 30^(@) with positive side of the x axis.

Determine x so that the line passing through (3,4)a n d(x ,5) makes an angle of 135^0 with the positive direction of the x-axis.

Find the slope of the line, which makes an angle of 30^(@) with the positive direction of y-axis measured anticlockwise.