 #1
songoku
 2,130
 283
 Homework Statement:
 Please see below
 Relevant Equations:

##(xa)^2+(yb)^2=r^2##
Distance between 2 points
Distance between point (4, 5) and point on circle:
$$d=\sqrt{(x+4)^2+(y5)^2}$$
$$=\sqrt{x^2+8x+16+y^210y+25}$$
Then substitute ##y^2## from equation of circle:
$$d=\sqrt{x^2+8x+16x^2+4x6y+1210y+25}$$
$$=\sqrt{12x16y+53}$$
After this, I need to try the points one by one to check whether the distance is an integer and also whether the point is located on the circle? I am pretty sure there should be a more sane method to do this
Thanks