Straight Lines · Centroid and circumcentre of triangle

Let the vertex

A

of a triangle

ABC

(1, 2)

, and the mid-point of the side

AB

(5, -1)

. If the centroid of this triangle is

(3, 4)

and its circumcenter is

(\alpha, \beta)

, then

21(\alpha + \beta)

is equal to:

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