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In a Delta ABC, A -= (alpha, beta), B -=...

In a `Delta ABC, A -= (alpha, beta), B -= (1, 2), C -= (2,3)` and point A lies on the line y = 2 x + 3 where `alpha, beta in l`. If the area of `Delta ABC` be such that `[Delta]=2`, where [.] denotes the greatest integer function, find all possible coordinates of A.

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The correct Answer is:
`alpha = 2, 3, -7, -6`
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