Question

Does the point (273, 2) lie on the circle that is centered at the origin and contains the point (0, -4)? Explain?

Answer 1

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:

${x}^{2} + {y}^{2} = 16$

If the point (273,2) lies on this circle , then it must satisfy this equation:

${273}^{2} + {2}^{2} = 74533$

Since

$16 \ne74533$

The point does not lie on this circle.