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In a A B C ,A-=(alpha,beta),B-=(1,2),C-...

In a ` A B C ,A-=(alpha,beta),B-=(1,2),C-=(2,3),` point `A` lies on the line `y=2x+3,` where `alpha,beta` are integers, and the area of the triangle is `S` such that `[S]=2` where `[` .`]` denotes the greatest integer function. Then the possible coordinates of `A` can be `(-7,-11)` `(-6,-9)` `(2,7)` `(3,9)`

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