The equation of a circle is (x - 4)2 + (y + 3)2 = 36. where is (2, -1) located in relation to the circle?

on the circle

in the interior of the circle

in the exterior of the circle

at the center of the circle

For this case we have that the center of the circle is given by the point (4, -3). The radius is

We find the distance between the center of the circle and the given point by means of the following formula:

Let:

Substituting:

The diatnce between the center and the given point is less than the radius of the circle, therefore, the point is inside.

Option B