If the midpoint is (0,0), then the endpoints should verify
the following equations.
If (0,0) is mid point of (x1,y1)
and (x2,y2).
==> 0 = (x1+x2)/2 ==> x1+x2= 0
==> x1= -x2
==>
0 = (y1+y2)/2 ==> y1+y2= 0 ==>
y1=-y2.
Then, we have
unlimited possible line segment that their midpoint if the
origin.
The only condition is that the x-coordinates have
the same value and opposite signs ans the y-coordinates has the same value and opposite
signs.
For
example:
( 1, 3) and (-1,
-3)
(-2, 5) and (2,
-5)
(-17, 25) and (17,
-25)
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