(a) Prove that except for two points on the circle, if (x, y) is on the circle with center at the origin and radius r, then the line passing through (x, y) and (r, 0) is perpendicular to the line passing through (x, y) and(−r, 0).Which two points are the exceptions?
(b) Let (x, y) be a point inside the circle with center at the origin and radius r. Prove that the line passing through (x, y) and (r, 0) is not perpendicular to the line passing through (x, y) and(−r, 0).
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