Answer:
center of the circle is (-4,6)
Second option is correct.
Step-by-step explanation:
The given equation of circle is [tex](x+4)^2+(y-6)^2=25[/tex]
The general form of a circle is given by the equation
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here (h,k) is the center and r is the radius.
On comparing the equation with this general form, we get
h = -4, k = 6
Therefore, the center of the circle is (-4,6)
Second option is correct.