Prove that if P = (x1, y1) is a point not on the line Ax + By + C = 0 (C ≠ 0), then
(a) C and Ax1 + By1 + C agree in sign if P and the origin are on the same side of the line.
(b) C and Ax1 + By1 + C have opposite signs if P and the origin are on opposite sides of the line.
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