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In a Δ ABC, suppose y = x is the equation of the bisector of the angle B and the equation of the side AC is 2x – y = 2. If 2AB = BC and the points A and B are respectively (4, 6) and ( α , β ), then α + 2 β is equal to

1. 39
2. 42
3. 48
4. 45

Correct answer: 42

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