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Question

Mathematics Question on Triangles

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

A

9/2

B

6

C

8

D

12

Answer

8

Explanation

Solution

The correct option is(C): 8