Answer:
(0, - 1), (- 4, 3 ) and (0, 7 )
Explanation:
Substitute the coordinates of the points given into the left side of the equation and if equal to the right side then they lie on the circle
Given equation
x² + (y - 3)² = 16
(0, - 1)
0² + (- 1 - 3)² = (- 4)² = 16 ← lies on circle
(0, 1 )
0² + (1 - 3)² = (- 2)² = 4 ≠ 16 ← not on circle
(- 4, 3)
(- 4)² + (3 - 3)² = 16 + 0 = 16 ← lies on circle
(0, 7 )
0² + (7 - 3)² = 4² = 16 ← lies on circle