What is the center of the circle given by the equation (x + 5)2 + (y - 8)2 = 1?

a. (-5, 8)
b. (-5, -8)
c. (5, 8)
d. (5, -8)

 The correct option is (A) (-5, 8).

Step-by-step explanation:  We are given to find the center of the circle represented by the following equation :

We know that

the STANDARD equation of a circle with center at the point (h, k) and radius of length r units is given by

From equation (i), we have

Comparing the above equation with the standard form, we get

center, (h, k) = (-5, 8).

Thus, the required center of the given circle is (-5, 8).

Option (A) is CORRECT.

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