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In an isosceles triangle ABC, the vertex...

In an isosceles triangle ABC, the vertex A is (6, 1) and the equation of the base BC is 2x +y=4. Let the point B lie on the line x+3y=7. If `(alpha, beta)` is the centroid of `DeltaABC`, then `15(alpha +beta)` is equal to :

A

39

B

41

C

51

D

63

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