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If for z = α + i β , |z + 2| = z + 4(1 + i), then α + β and αβ are the roots of the equation

1. x 2 + 3x – 4 = 0
2. x 2 + 7x + 12 = 0
3. x 2 + x – 12 = 0
4. x 2 + 2x – 3 = 0

Correct answer: x 2 + 7x + 12 = 0

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