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If x1, x2, x3 as well as y1, y2, y3 are in GP with the same common ratio, then show that the points (x1, y1), (x2, y2) and (x3, y3) are collinear.

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If x1, x2, x3 as well as y1, y2, y3 are in GP with the same common ratio, then show that the points (x1, y1), (x2, y2) and (x3, y3) are collinear.

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Best answer

Let x2 = x1k, x3 = x1k2 and y2 = y1k, y3 = y1k2. 

Then

 = 0  (since two rows are identical)

Hence, the points are collinear

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