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Given that points A(x,1), B(1,2 ) and C(0, y+1) are collinear.
Hence, the slope of AB and slope of BC are equal.
so (2-1)/(1-x) = (y+1-2)/(0-1)
(y-1)(1-x) = -1
(x-1)(y-1) = 1
xy - x - y + 1 = 1
x y = x + y, divide by x y.
1 = 1/x + 1/y
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