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