If the equation of a circle is (x + 5)2 + (y - 7)2 = 36, its center point is (5, 7) (-5, 7) (5, -7)

center ( -5 , 7).

Step-by-step 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).

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step-by-step explanation: