Doubts with the response

To determine the equation of the sphere that passes in A and B, and has straight center in s

$\displaystyle A(0,4,3)$ $\displaystyle B(1,1,-5)$

(s):

$\displaystyle x=z+2$

$\displaystyle y=z-3$

My solution:

For the straight, center: $\displaystyle C(1,1,1)$

$\displaystyle R=d(C,A)=\sqrt{14}$

The equation is:

$\displaystyle (x-1)^2+(y-1)^2+(z-1)^2=14$

BUT THE ANSWER IS:

$\displaystyle (x-3)^2+(y+2)^2+(z-1)^2=49$