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The relation between a circle S
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☼ The relation between a circle S : x2 + y2 + 2gx + 2fy + c = 0 = 0 and a point (x1, y1) in its plane :
(i) If + 2gx1 + 2fy1 + c > 0, then the point lies out side the circle, like C.
(ii) If + 2gx1 + 2fy1 + c = 0, then the point lies on the circle, like B.
(iii) If + 2gx1 + 2fy1 + c < 0, then the point lies in side the circle, like A.
