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 slope of the line that makes angle (2pi)/3 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.

If p be the length of the perpendicular from the origin on the line x/a+y/b=1 , then

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

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

If a line makes an angles of 30^@ , 60^@ , 90^@ with the positive direction of x,y,z axis respectively, then find its direction cosines.

If a line makes angle 90^o, 60^o, 30^o with the positive direction of x, y and z-axis respectively, find its direction cosines.

A line forms a triangle with co-ordinate axes. If the area of this triangle is 54 sqrt3 square units and the perpendicular drawn from the origin to the line makes an angle of 60^@ with the x-axis, 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 a st. line, which passes through the point (-2,3) and makes an angle of 60^@ with the positive direction of x-axis.