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Question -

Find equation of the line through the point (0, 2) making an angle  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.



Answer -

The slope of the line making an angle  with the positive x-axis  is  
Now, the equation of the line passing through point (0, 2) and having a slope   is  .
 
The slope of line parallel to line  is .
It is given that the line parallel to line  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  is

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