Answer:
Outside of the circle
Step-by-step explanation:
First, find the equation of the circle by plugging in the center point and radius:
(x - h)² + (y - k)² = r²
(x - 0)² + (y - 0)² = ([tex]2\sqrt{3}[/tex])²
x² + y² = 12
Plug in point M to see where it lies:
x² + y² = 12
(-3)² + (2)² = 12
9 + 4 = 12
13 ≠ 12
Since this statement is false, point M lies outside of the circle.
