Question

已知点A(-4,2),B(6,-8),则以线段AB为直径的圆的方程为

Answer 1

let

C:centre(m,n)

m= (6-4)/2=1

n= (-8+2)/2 = -3

|AB| =2r

(2r)^2 = (6+4)^2 + (-8-2)^2 = 200

r^2=50

equation of cirlcle

(x-m)^2+(y-n)^2 = r^2

(x-1)^2+(y+3)^2 =50