MathematicsMedium128×since 2002Q5622Let α,β,γ,δ∈Z\alpha, \beta, \gamma, \delta \in \mathbb{Z}α,β,γ,δ∈Z and let A(α,β),B(1,0),C(γ,δ)A(\alpha, \beta), B(1,0), C(\gamma, \delta)A(α,β),B(1,0),C(γ,δ) and D(1,2)D(1,2)D(1,2) be the vertices of a parallelogram ABCD\mathrm{ABCD}ABCD. If AB=10A B=\sqrt{10}AB=10 and the points A\mathrm{A}A and C\mathrm{C}C lie on the line 3y=2x+13 y=2 x+13y=2x+1, then 2(α+β+γ+δ)2(\alpha+\beta+\gamma+\delta)2(α+β+γ+δ) is equal toA8B5C12D10Check answerSkip