Answer:
Given
(X+1)²+(y+4)² =25
or, {x-(-1)}² +{y-(-4)}² =5²
comparing with (x-h)²+(y-k)² = r²
h= -1
k= -4
center of circle (h,k)= (-1,-4)
by question..
(a,b) is centre of circle so...
(a,b) =(-1,-4)
i.e
a=-1
b=-4
now;
a+b= -1+(-4)
= -1-4
= -5
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