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

`AB = \sqrt{(3-6)^(2) + (3-5)^(2)} = √(13)`

equation of the circle :

(x - 3)² + (y - 3)² = 13

(1-3)² + (6-3)² = 13 ⇒ C ∈ circle
(6-3)² + (0-3)² = 18 ≠ 13 ⇒ D ∉ circle
(0-3)² + (3-3)² = 9 ≠ 13 ⇒ E ∉ circle
(3-3)² + (-1-3)² = 16 ≠ 13 ⇒ F ∉ circle
(3-3)² + (6-3)² = 9 ≠ 13 ⇒ G ∉ circle