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)

C(1, 6)

D(6, 0)

E(0, 3)

F(3,1)

G(3, 6)

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

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

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