Find the equation of a straight line on which length of perpendicular from the origin is 4 units and the makes an angle of `120^@` with positive direction of x-axis.

Find slope of the line that makes angle (2pi)/3 with the positive direction of x-axis.

Find the equation of the straight line on which the perpendicular from origin makes an angle 30^o with positive x-axis and which foms a triangle of area 50/sqrt3 sq, units with the co-ordinates axis.

Find the equation of the straight line bisecting the segment joining the points (5, 3) and (4,4) and making an angle of 45^@ with the positive direction of X-axis.

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

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

Find the components of a vector vec v whose magnitude is 5 sqrt 3 and which makes an angle of 120 with positive direction of X- axis.

The length of perpendicular from the origin to a line is 9 and the line makes an angle of 120^(@) witth the positive direction of Y - axes . Find the equation of the line .

Find the equation of the st. line, which has length of perpendicular segment from the origin to the line 4 units and the inclination of the perpendicular segment with the positive direction of x-axis is 30^@ .

Find the equation of the line, which cuts off intercept 4 on the x-axis and makes an angle 60^@ with positive direction of the x-axis.