Which equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1)? distance formula: (x – 1)2 + (y + 2)2 = 25 (x + 2)2 + (y – 1)2 = 5 (x + 2)2 + (y – 1)2 = 25 (x – 1)2 + (y + 2)2 = 5

Option 3 -  

Step-by-step explanation:

Given : A circle that contains the point (-5,-3) and a center at (-2,1).

To find : Which equation represents a circle ?

Solution :

The general equation of the circle in center radius form is

where, r is the radius

(h,k) is the center of the circle.

We know, the distance between the center and any point that lie on the circle is equal to the radius of the circle.

Now, the distance between two points is given by

Here, and

The radius of the circle is 5 units.

Substitute all the values in the general formula,

Therefore, Option 3 is correct.