Question

The equation below describes a circle. What are the coordinates of the center of the circle?

(x+5)²+(y+7)²=212
a. (-5, -7)
b. (5, -7)
c. (5, 7)
d. (-5, 7)

Answer 1

The answer is a. (-5, -7).

The equation of a circle in the form (x−h)^2 +(y−k)^2 =r^2 represents a circle with center at (h,k) and radius r.

Comparing it with the given equation

(x+5)^2 +(y+7)^2 =212,

we can see that the center of the circle is (−5,−7).

So, the answer is a. (-5, -7).