The correct option is A x2+y2−2x+9y2=0
Circle 1:x2+y2=25
Circle 2:x2+y2−4x+9y+3=0
Center's of the circles are
C1≡(0,0), C2≡(2,−92)
Since C1 and C2 are the endpoints of the diameter of circle S, so the equation of circle S is
(x−0)(x−2)+(y−0)(y+92)=0∴x2+y2−2x+9y2=0