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Let alpha,beta,gamma,delta in Z and let ...

Let `alpha,beta,gamma,delta in Z` and let `A(alpha,beta),B(1,0),C(gamma,delta)` and "D(1,2)" be the vertices of a parallelogram "ABCD" .If `AB=sqrt(10)` and the points "A" and "C" lie on the line `3y=2x+1` ,then `2(alpha+beta+gamma+delta)` is equal to

A

8

B

10

C

5

D

12

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