Prove that the points (a, b), (a1, b1) and (a −a1, b −b1) are collinear if ab1 = a1b.
The formula for the area ‘A’ encompassed by three points, `(x_1,y_1),(x_2,y_2),and (x_3,y_3)` is given by the formula,
If three points are collinear the area encompassed by them is equal to 0.
The three given points are(a,b),(a-a1 b-b1)and(a-a1,b-b1) If they are collinear then the area enclosed by them should be 0.
Hence we have proved that for the given conditions to be satisfied we need to have
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