Answer:
No, the point (273, 2) does not lie on the circle that is centered at the origin and contains the point (0, -4)
Step-by-step explanation:
The circle centered at the origin that contains the point (0,-4) has equation:
[tex] {x}^{2} + {y}^{2} = 16[/tex]
If the point (273,2) lies on this circle , then it must satisfy this equation:
[tex] {273}^{2} + {2}^{2} = 74533[/tex]
Since
[tex]16 \ne74533[/tex]
The point does not lie on this circle.
