SOLUTION: Find the equation of the circle of radius 5 whose centre lies on x-axis and passes through the point (2,3).

Algebra ->  Circles -> SOLUTION: Find the equation of the circle of radius 5 whose centre lies on x-axis and passes through the point (2,3).      Log On


   



Question 536317: Find the equation of the circle of radius 5 whose centre lies on x-axis and passes through the point (2,3).
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The distance from the x-axis to (2,3) is the radius, r = 5.
There are 2 points in the x-axis that are 5 units from the point (2,3).
The points are (x,0).
d%5E2+=+25+=+diffy%5E2+%2B+diffx%5E2+=+3%5E2+%2B+%282-x%29%5E2
x%5E2+-+4x+%2B+13+=+25
x%5E2+-+4x+-+12+=+0
(x - 6)*(x + 2) = 0
x = -2, x = 6
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%28x%2B2%29%5E2+%2B+y%5E2+=+5%5E2 Circle 1
%28x-6%29%5E2+%2B+y%5E2+=+5%5E2 Circle 2