find the equation of a straight line on which the perpendicular from the origin makes an angle of 30 degree with the x-axis and which forms a triangle of are 50/root3 with the axes.
AB is the given line and OL = p is the perpendicular drawn from the origin to the line.
OL makes an angle of 300 with OX.
Equation of line AB is given by
Now, in ΔOLA,
Now, in ΔOLB,
Given that
Put this value in equation (1).
∴Equation of line AB is given by