Question

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 y² = 4ax passing through D is (α + β√3,0), where α and β are rational numbers, then α/β² is equal to 

(1) 6 

(2) 8 

(3) 9/2 

(4) 12

Answer 1

Correct option is (2) 8