Find the equation of the straight line which makes a triangle of area `96sqrt(3)` with the axes and perpendicular from the origin to it makes an angle of `30^0` with y-axis.

Find the equation of the straight line which is at a distance 3 from the origin and perpendicular from the origin to the line makes an angle of 30^(0) with the positive direction of the x-axis.

Find the equation of the straight line upon which the length of the perpendicular from the origin is 2 and this perpendicular makes an angle of 30^0 with the positive direction of y-axis (in clockwise direction .

Find the equation of the straight line on which the length of the perpendicular from the origin is 2 and the perpendicular makes an angle alpha with x -axis such that sin alpha=(1)/(3)

Find the equation of the line which is at a distance 5 from the origin and the perpendicular from the origin to the line makes an angle 60^0 with thepositive direction of the x-axis.

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

Find the equation f the straight line at a distance of 3 units from the origin such that the perpendicular from the origin to the line makes and angle alpha given by tan alpha=(5)/(12) with the positive direction of x-axis.

If the straight line ax+by+c=0 make a triangle of constant area with coordinate axes, then

Find the equation of a straight line which makes an angle of tan ^(-1)sqrt(2) with the x -axis and cuts off an intercept of =(3)/(sqrt(2)) with the y axis

Find the equation of a line which is at a perpendicular distance of sqrt(2) units from origin and the perpendicular from origin to this line makes an angle of 135^(@) from positive direction of X -axis.