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

In a triangle `A B C ,A=(alpha,beta)B=(2,3),a n dC=(1,3)dot` Point `A` lies on line `y=2x+3,` where `alpha in Idot` The area of ` A B C ,` , is such that `[Delta]=5` . The possible coordinates of `A` are (where [.] represents greatest integer function). (a)`(2,3)` (b) `(5,13)` `(-5,-7)` (d) `(-3,-5)`

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