Question

过原点的直线与圆x的平方加y的平方减6的平方加五等于零相交于A,B两点,求弦长AB中点M轨迹方程

Answer 1

圆C:x^2+y^2-6x+5=0

C(3,0),r=2

M(x,y)

k(AB)=y/x,k(CM)=y/(x-3)

k(AB)*k(CM)=-1

[y/(x-3)]*(y/x)=-1

(x-1.5)^2+y^2=2.25