Respuesta :

Answer:

The point (2,0) is outside the circle

Step-by-step explanation:

we have

[tex](x-2)^{2}+(y+3)^{2}=4[/tex]

[tex](x-2)^{2}+(y+3)^{2}=2^{2}[/tex]

This is the equation of a circle with center at (2,-3) and radius equal to 2 units

Using a graphing tool

Plot the circle and the given points and verify if the point lie outside  the circle

we have

[tex](1, -4 ),(0, -3),(2, 0),(2,-4)[/tex]

so

The point (2,0) is outside the circle

see the attached figure

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