SOLUTION: Find an equation of the circle passing through A(2,4), B(-2,6) and O(0,0)

Question 1065346: Find an equation of the circle passing through A(2,4), B(-2,6) and O(0,0)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The slope of OA is .
The slope of AB is .
Since the product of the slopes is
, OA and AB are perpendicular.
Angle OAB is an inscribed right angle in the circle we are looking for,
OB is a diameter of that circle,
and the center of the circle is the midpoint of OB,
.

So
With and ,
we can write the equation for the circle as
.
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