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anonymous
 5 years ago
Find the equation of the circle
x^2+y^2+Dx+Ey+F=0
that passes through the points:
(2,0)(1,3)(5,3)
anonymous
 5 years ago
Find the equation of the circle x^2+y^2+Dx+Ey+F=0 that passes through the points: (2,0)(1,3)(5,3)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You need to substitute these points into your equation to obtain three different equations. You'll then have three linear equations in three unknowns which can be solved exactly.\[(2)^2+(0)^2+D(2)+E(0)+F=0\rightarrow 4 +2D+F=0\]and repeat for the other two points. You then use linear algebra to solve for D, E and F.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh ok great thank you!
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