Question

line uv is a diameter of circle W. U is (5,8) and V is (-7,-6). which of these points lie on circle W? select all that apply

Answer 1

X; Y

Explanation:

Let I be the midpoint of UV

Coordinates of midpoint: x = (5-7)÷2 = -1; y = (8-6)÷2 = 1

(W) has center I(-1,1) and radius = IU =
`√((5-(-1))^2+(8-1)^2)=√(85)`

Equation of (W):
`(x+1)^2+(y-1)^2=85`

We see that X(8,3); Y(6,-5) satisfy the equation of (W)