can someone please help me with this problem?
find the two points on line 2x-y+1=0 which are at distance 2 from the line x+y-2=0
>>272193
easy way:
the 2nd line has pi/4 angle. So it's easy to find a line that is at distance 2 away from it (use some pythagoras for that). You will get two lines in this way - one lies below and other above the original line.
Now set either of these lines equal to your first line and the solutions will be the points you want.
>>272193
Hard way(the usual way):
https://en.wikipedia.org/wiki/Distance_from_a_point_to_a_line