Find the equation of a line on which perpendicular from the origin makes an angle of 30 degree with the x-axis and which forma a triangle of area 50/3^1/2 with the coordinate 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).

Therefore, equation of line AB is given by

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