Question

已知圆C与圆x²+y²-2x=0相外切,并且与直线x+根号3y=0相切于点Q（3,-根号3）,求圆C的方程

Answer 1

设C方程为：(x-m)^2+(y-n)^2=r^2

(m-1)^2+n^2=(r=1)^2

(3-m)^2+(-根3-n)^2=r^2

m+根3n=2