The radius of the circle passing through the points (5,7),(2,-2) and (-2,0) is

Step-by-step solution

(B) Let ( h , k ) be the center of the circle which passes through (5,7),(2,-2) and (-2,0) (h-2)²+(k+2)²=(h+2)²+k² -4 ~h +4+4 k +4=4 ~h +4 8 ~h -4 k =4 2 ~h - k =1 ...(1) Also ( h -5)²+( k -7)²=( h +2)²+ k ² -10 ~h +25-14 k +49=4 ~h +4 14 ~h +14 k =70 h + k =5 ...(2) Solving (1) and (2) , we get, h =2, k =3 centre =(2,3) Radius =3-(-2)=5