Question 187485
My question is Given circle O with O(3,-4) and radius 5, find 12 points on the circle with integer coordinates. 
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Equation:
(x-3)^2 + (y+4)^2 = 25
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I think you will see the answer if you plot the center at (3,-4)
Since the radius is "5" draw a radius to (0,0).
Do you see the 3-4-5 right triangle with vertices at (0,0),
(3,-4) and (0,-4)?
If you do, plot the point (0,-8); it also forms a 3-4-5 rt.
triangle with vertices (0,-4), (3,-4),(0.-8)
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Go up 5 from (3,-4) to (3,1).
Go down5 from (3,-4) to (3,-9)
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So far you have four solution points with integer values.
Can you find the other 8?
Consider the symmetry a circle has.
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Cheers,
Stan H.