Question

Which point lies on a circle that is centered at A(3, 3) and passes through B(6, 5)?

C(1, 6)
D(6, 0)
E(0, 3)
F(3, -1)
G(3, 6)

Answer 1

We are given the center of the circle that is at (3,3) and another point at the circle at (6,5). The radius of the circle is the distance between the two points that is equal to sqrt 13 through the distance formula. The equation of the circle hence is (x-3)^2 + (y-3)^2 = 13. The line that lies on the circle among the given is A (1,6)