Find equation of the line through the point (0, 2) making an angle 2π/3 with the positive

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asked Feb 8, 2018 in Mathematics by Rohit Singh (61,782 points) 35 133 356

Find equation of the line through the point (0, 2) making an angle 2π/3 with the positive

x-axis. Also, find the equation of line parallel to it and crossing the y-axis at a distance of 2 units below the origin.

1 Answer

+1 vote
answered Feb 8, 2018 by sameer (82,980 points) 5 11 37
selected Feb 20, 2018 by sanjeev
 
Best answer

The slope of the line making an angle 2π/3 with the positive x-axis is m= tan [2π/3]= - √3

Now, the equation of the line passing through point (0, 2) and having a slope   -√3 is

The slope of line parallel √3x + y - 2 = 0 is -√3   to line.

It is given that the line parallel to line √3 + y - 2 = 0 crosses the y-axis 2 units below

the origin i.e., it passes through point (0, –2).
Hence, the equation of the line passing through point (0, –2) and having a slope -√3 is

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