Acircle passes through (3,-, 4), and (6,8)
using the standard form of a circle x2 + y2 + dx+ ey+ f = 0, fill in missing
numbers to create the system of equations.

D = -6, E = -8 , F = 0

Step-by-step explanation:

standard form =

now, when circle passes through (3,-1);

⇒

⇒    ...............( equation 1)

when circle passes through (-2,4);

⇒

⇒    ...............( equation 2)

when circle passes through (6,8);

⇒

⇒       ................( equation 3)

by solving these 3 equations , we get;

D = -6, E = -8, F = 0

hence,

standard form =

                        =

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