SOLUTION: Point A(1,3) and B (6,4) are extremities of a diameter of a circle. If P (x,y) is any point on this circle, find the equation that relates x and y. (hint, use the fact that AP is p

Algebra ->  Coordinate-system -> SOLUTION: Point A(1,3) and B (6,4) are extremities of a diameter of a circle. If P (x,y) is any point on this circle, find the equation that relates x and y. (hint, use the fact that AP is p      Log On


   



Question 754138: Point A(1,3) and B (6,4) are extremities of a diameter of a circle. If P (x,y) is any point on this circle, find the equation that relates x and y. (hint, use the fact that AP is perpendicular BP)
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Answer by Alan3354(69443) About Me  (Show Source):
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Point A(1,3) and B (6,4) are extremities of a diameter of a circle. If P (x,y) is any point on this circle, find the equation that relates x and y.
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The diameter is the distance AB
d%5E2+=+1%5E2+%2B+5%5E2+=+26
d+=+sqrt%2826%29
r+=+sqrt%2826%29%2F2
The center is the midpoint of AB --> point C
C(7/2,7/2)
The circle's eqn is %28x+-+7%2F2%29%5E2+%2B+%28y+-+7%2F2%29%5E2+=+6.5
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The eqn of the circle relates x & y