Question

Plzz answer this question fast..... plzzzzzz​

Answer 1

Step-by-step explanation:

all points are equidistant from centre O(x,y),

(x-7)^2+[y-(-1)]^2= (x-1)^2-[y-(-1)]^2

(x-7)^2=(x-1)^2

x^2-14x+49=x^2-2x+1

-14x+2x=1-49

-12x=-48

x=-48/-12

x=4............(I)

also,

(x-9)^2+(y-3)^2=(x-1)^2+[y-(-1)]^2

(4-9)^2+(y-3)^2= (4-1)^2+(y+1)^2

25+y^2-6y+9=9+y^2+2y+1

25-6y=2y+1

4y=24

y=6......(II)

centre is O(4,6)

hence radius,

√{4-1)^2+[6-(-1)]^2}

√(9+49)

√58