Question 175790
First the obvious choices
(10,0)
(0,10)
(-10,0)
(0,-10)
The next four are a little more challenging.
{{{D=sqrt(x^2+y^2)}}}
{{{10=sqrt(x^2+y^2)}}}
Think about the Pythagorean triples, particularly 3,4,5.
If we double them, we get 6,8,10, where 10 is the hypotenuse (or distance) that we're interested in.  
(6,8)
(-6,8)
(8,6)
(-8,6)