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The coordinates of A ,\ B ,\ C are (6...

The coordinates of `A ,\ B ,\ C` are `(6,\ 3),\ (-3,\ 5)` and `(4,\ -2)` respectively and `P` is any point `(x ,\ y)` . Show that the ratio of the areas of triangles `P B C` and `A B C` is `|(x+y-2)/7|` .

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