A circle has center (2, 4).
(a) Prove that (–1,5 ) and (5, 1) are not both on the circle.
(b) Prove that if the radius is less than 5, then the circle does not intersect the line y = x − 6.
(c) Prove that if (0, 3) is not inside the circle, then (3, 1) is not inside the circle.
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