222k views
1 vote
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

line uv is a diameter of circle W. U is (5,8) and V is (-7,-6). which of these points-example-1
User JosephHirn
by
9.1k points

1 Answer

1 vote

Answer:

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)

User Uday Hiwarale
by
7.6k points

No related questions found