Find the equation of the line passing through the point (0,1) making an angle `(2pi)/3` with the positive x-axis. Also, find equation of line parallel to it and crossing the y-axis at a distance of 2 units below the origin.

Explanation

The slope of the line making an angle` frac(2 pi)(3) `with the positive x-axis is `m= tan frac(2 pi)(3)=-(sqrt3)`

Now, the equation of the line passing through point (0,2) and having a slope `-sqrt3` is` (y-2)=-sqrt3(x-0)`



`y-2=-sqrt3 x`




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