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If the three points A(h, k), B(x1, y1) and C(x2, y2) lie on a line then show that (h – x1)(y2 – y1) = (k – y1)(x2 – x).

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For the lines to be in a line, the slope of the adjacent lines should be the same.

Given points are A(h,k),B(x1,y1) and C(x2,y2)

So slope of AB = BC = CA

Hence proved.

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