Question

Does each point lie on the circle, yes or no?

Answer 1

To answer this question we have to evaluate the given equation using each ordered pair and see if it's true:

(0, sqrt(13))

`\begin{gathered} (0-2)^2+(\sqrt[]{13})^2=13 \\ 4+13=13 \\ 17\\e13 \end{gathered}`

This point does not lie on the circle.

(0, -sqrt(13))

`\begin{gathered} (0-2)^2+(-\sqrt[]{13})^2=13 \\ 4+13=13 \\ 17\\e13 \end{gathered}`

This point does not lie on the circle.

(4, 3)

`\begin{gathered} (4-2)^2+(3)^2=13 \\ 4+9=13 \\ 13=13 \end{gathered}`

This point does lie on the circle.

(-2, 1)