determine eqn of sphere passes in A, B, straight center in s

Apprentice123

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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:
\(\displaystyle (x-3)^2+(y+2)^2+(z-1)^2=49\)
 
Re: spherical

Why do you think that is the Center?

1 = 1+2? No.
1 = 1-3? No.
 
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