SOLUTION: Find the equation of the circle concentric with the circle x2+y2+6x-10y+33=0 and touching the line y-0

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Question 550406: Find the equation of the circle concentric with the circle x2+y2+6x-10y+33=0 and touching the line y-0
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of the circle concentric with the circle x2+y2+6x-10y+33=0 and touching the line y-0
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I think you mean y=0
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Find the center of the circles.
x2+y2+6x-10y+33=0
Complete the squares for x and y
x2+y2+6x-10y = -33
x%5E2+%2B+6x+%2B+9+%2B+y%5E2+-+10y+%2B+25+=+-33+%2B+9+%2B+25+=+1
%28x%2B3%29%5E2+%2B+%28y-5%29%5E2+=+1
The center is (-3,5)
The distance to y = 0 (the x-axis) is 5.
--> %28x%2B3%29%5E2+%2B+%28y-5%29%5E2+=+25