The length of the perpendicular segment from the origin to a line is 2 units and the inclination of this perpendicular is `alpha` such that sin `alpha=(1)/(3) and alpha` is acute. Find the equation of the line.

The perpendicular from the origin to a line meets it at (-2,9) .Find the equation of the line.

Find the equation of the line on which the length of the perpendicular segment from the origin to the line is 4 and the inclination of the perpendicular segment with the positive direction of x- axis is 30^(0) .

For the straight line 8x-15y+51=0, find the length of the perpendicular from the origin to this line and the inclination of this perpendicular with the x-axis.

The length of the perpendicular from the origin on the line (x sin alpha)/(b ) - (y cos alpha)/(a )-1=0 is

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 on which the length of the perpendicular segment from the origin to the line is 4 and the inclination of the perpendicular segment with the positive direction of x axis is 30^0dot

The perpendicular distance of a line from the origin is 5 units and its slope is -1. Find the equation of the line.

The length of the perpendicular from the point (a cos alpha, a sin alpha) upon the line y=x tan alpha+c, c le 0, is

The foot of the perpendicular from (0, 0) to the line x cos alpha+y sin alpha=p is

The foot of the perpendicular from (0,0) to the line x cos alpha+y sin alpha=p is