Answer:
center ( -5 , 7).
Explanation:
Given : If the equation of a circle is (x + 5)² + (y - 7)² = 36.
To find : Find its center .
Solution : We have given (x + 5)² + (y - 7)² = 36.
Standard equation of circle : (x – h)² + (y – k)² = r².
Where, (h ,k) = center , r = radius .
On comparing (x + 5)² + (y - 7)² = 36.
h = -5 , k = 7
So, the center ( -5 , 7).
Therefore, center ( -5 , 7).