size(7.5cm,0);
defaultpen(.8bp);
// ~~~~~~~~~ DEFINITIONS ~~~~~~~~~
path ligne=(-3,1){dir(45)}..(-1,2)..{dir(10)}(4,0),
     cercle=scale(2)*unitcircle;
pair point1=intersectionpoint(ligne,cercle),
     point2=intersectionpoint(reverse(ligne),cercle);
// ~~~~~~~~~ CONSTRUCTIONS ~~~~~~~~~
draw(ligne,blue);
draw(cercle,orange);
dot(point1,4bp+brown);
dot("$A$",point2,NE,4bp+red);

shipout(bbox(3mm,white));