Find the equation of the straight of the straight line on which the perpendicular from the origin is of length 3 unit and this perpendicular makes an angle of `210^0` with the x-axis.

Find the equation of the straight line perpendicular to y-axis and : passing through the origin.

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 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 straight line, which is parallel to y-axis and 3 units to the right of it.

Find the equation of the tangents to the function y = 4x^3 - 3x + 5 , which are perpendicular to the line 9y + x + 3 = 0 .

In the following , find the equation of the line which satisfy the given conditions: Perpendicular distance from the origin is 5 units and the angle made by the perpendicular with the positive x-axis is 30^@ .