How's your sister, Mary? She's thin and short.____
已知圆C:x2+(y﹣4)2=1,直线l:2x﹣y=0,点P在直线l上,过点P作圆C的切线PA,PB,切点分别为A,B.
(1)若∠APB=60°,求点P的坐标;
(2)求证:经过点A,P,C三点的圆必经过定点,并求出所有定点的坐标.
Lucy is ____ ____ ____ Lily.