(−54,34)
(38,−58)
(58,−38)
(54,−34)
Correct answer is C
Equation : (x−a)2+(y−b)2=r2
Expanding : x2+y2−2ax−2by+a2+b2=r2
Given, 4x2+4y2−5x+3y−2=0
Divide through by 4 to make the coefficient of x2 and y2 to be 1.
x2+y2−54x+34y−12=0
Comparing, 2a=54⟹a=58
2b=−34⟹b=−38
(a,b)=(58,−58)
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