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Let A(0, 1), B(1, 1) and C(1, 0) be the mid-points of the sides of a triangle with incentre at the point D. If the focus of the parabola y 2 = 4ax passing through D is ( ) 0 , 2 β + α where α and β are rational numbers, then 2 β α is equal to

1. 8
2. 12
3. 6
4. 2 9

Correct answer: 8

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